Was sind Matrizen?
In der Mathematik versteht man unter einer Matrix (Plural Matrizen) eine rechteckige Anordnung (Tabelle) von Elementen (meist mathematischer Objekte, etwa Zahlen). Mit diesen Objekten lässt sich dann in bestimmter Weise rechnen, indem man Matrizen addiert oder miteinander multipliziert.[br][br]Als Notation hat sich die Anordnung der Elemente in Zeilen und Spalten zwischen zwei großen öffnenden und schließenden Klammern durchgesetzt. In der Regel verwendet man runde Klammern, es werden aber auch eckige verwendet.[br][br]Eine (mxn)-Matrix mit m Zeilen und n Spalten sieht so aus:
[img]data:image/png;base64,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[/img]
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e4Fb0icaoYNHuR+SSaOHytpkidVj0n7RaT4mdOnaUD8VEkTq403JowE5CGU7KlTJ53VMQMkcD6OOO7WI1TKkz2LOvDYpXNADFt0Jh/GhEUKnpMJpbAJeezIEWHiZvJD1cRkaErgOGBA2zuvDWjbeESgKCuWr/un3VmGW549e+pRBWI1R9yE8+fOqlMFcTs8BaEiRCcR33Ardi/0xwvs3i/1iBPC8j0ySZDrxAYnUQOTiqdEDdyL+R/OOp4Kkw8qA08F3hBbxT3GuKe6oXgOO3smbjwAmQQNcAfuKRrQ9s5rA9reeWRqfGAcAKQJh4q0TXznNatXfWAciL/hGtD2znsD2t55ZGp8gBwAuFGPANwE7zp54sQHyIXAD9mAtneeG9D2ziNT4wPlABuvTcM8TYsWyu8MofuBsiMgwzag7Z3NBrS988jU+IA5QEiDKhXKqcRdq3oVj3sMHzB7/D50A9reWWpA2zuPTI0PnAMkIciXM5sCd/fOnTxuKn/gLPLb8A1oe2elAW3vPDI1DAdk986dauKJRQmblMaiJG5eCgPa3vlqQNs7j0wNwwE1r1w4f55K2ySNWLxwgeFKHHDAgLZ3phrQ9s6jOK2BvXRk9tZx2nGQN46jC4H4g4k3SNd9e/dUj0k8Rkn5FciogEH+yPxCngFt72w0oO2dR3FWg/gd5PcjIp69vHnzWh13PDnd2Osl5O8b1q8XwqWSPSWYCk5SX37RWiVucm+Sz9EU/3HAgLZ3XsYLaJ8/d07zzE20pd5yJ/XY0aNahyVpQi28oHlyZNV8gPYxjh4xXIjNbY8VYr/+IXyfOG6sAuPQQQOCbrjk+cT9HxvuSuXLJLjgWfHJcAPa3rkfL6C9Y5sj9RZJayMrSxcv0h9Fm5bNIqsSNOcvXDivQaFOnjgeLZoiA20yzgAIhAv9UEswgzbP5OrVK1KkQD5VlXzV9gvBptuU2HPAgLZ3HhrQ9s4jrzVm/zRTQXbY4IFe69orRAbaBGkip6Q9WJP9vg/he7CDNs9g/949alFCoocRw4YaixI/vJgGtL0zMWRBmw0qNqpev3qln96HGrMabDSRYdtT4CarRV9BG5rRiVptRQbaVruRfbIhZrXjzfTM2tCjvi+beo7xvok2X7nPoikyuq3z0IHePiqafAFtAm7RBu9BfBTGjO49WaJPNUPPksUL5f17R7b7+KAnIfRpQNv7Uww50CaC3batW6Rrpx+FvIiVK5SVxvXryvSpU+Tx48cuIybkKDGmB/aLGPOZdgYP6K/X7VHwiIz37TdfaRQ7ouCNHztGSJZbo0ol6denl0tkuxs3buhGYpWKDo+5KhXK6v9sLi5busRJC8CKpQExtatWLKcbbFMnT5RLFy541Gnv2LZVvmr3hWzbstnZBl+ICDh/7s8ayrVqxfJKU4f2X2qKLCYW98ISntCuDevWFuqzgQZt1mHPMA+Qot7p26un1K5eVfnasF5tDQPLD8m9rF65UnlH5vYL589Lty6dpFqlCjq2yRPGy4sXz91vkVs3b8q0KZPli9YtpXqVSposokunH2Tfnj0RrDCiAu07t2/LhHFjpUmDeuqt2LhBXWHitCchjtB5HJ3g2Y4fM1qSJ/5Mpe7tW7fEUU8fRrMGtL0/55ACbYAFEEKyyZQutWY2x8U4Y5pUGpjfXUd+9+5dSZ0ssRTMkysCJwg9WqJwQY1ZTdZ1q5A4AH3y8KFDpFzpEpI2ZTIpWaSQ5MicUc8XyZ9XQ65SH5AjmBCR4LiH+Nf8zzEqLOEA0tiK5cu0HZIHFCuYXwrkcSQSYCLAdCzRJx9Z3evnpAnjtL0JY8c4zxMOlWzvBOgvkCenboSVK1VCJTzCiC5bsthZly/nzp6Rwvny6HX6YeLJmiGdtkufhfLllrW26HWMO32q5MrHIgXyKgAzDvorVqiAnD1z2qX9Lj/+oG0xqeXMmknvLZQvj8bZ5p5vvmyrKxTrptu3bmk7ST77WHXBJFAmAXHyRJ9qGFT3SHqRgTZ5FXlu8LJcqeJSt1YNKZQ3tyT+9G/KkydPXCduq/+4/ETaZx+CcefPnVMn/LjsLyG3bUDb+9ONV9AuX6aUbNqwwePRr3dPBQX7RiRSDQkGyARDuiwkadQjhw4elHy5c+gP99y5s85Rxwa0UyZNJEjQx48d07jS165eUckOcG7XppWwNOe4e/eOSlqc79W9i/7PObLYUJCOs2fOIHjSAcZPHj/Wc/Pm/qxgxX2+gDZjoV+kUlYASNZIs1jg0AbAzOrBKh2//UbPz5g2VdUx0ErCYSa7EoULyM0bN5ygSmxsJjcmKMD/8aNHqnZAMkYSpn0kdbsawgLtFEk+10QIFy+cl0cPH8qG9esUuEmScOjgAYscTf7Qvm1r2bjhV20fFdHz589k1PBhCsCAuL14Am3GXKNqJQV6JG02//54907NI7/+8gulE8ub+CjET2eFAq9Ix8YzMiX6HDCg7Z1n8QraiT7+KNJs3UhS/ADsoM1wAG6kV3vh/84/fK/1sTqxSmxAu0yJYgouVlv0gZSHNJU5XWoh84tVotJpA86MAxWFXYXBqmH50qUKcL6ANv0zdvdCLkomhTw5sjmBAmmzeOECkitrJnn8ODwvJG00a9RQs+mcPn3K2dSP33+rNOI4Qh17AdwxP2QMx48edV6yQLtJw3ouYM64rCS5dnPNyOi/ffuWZophDPa+PYE2aiPoaFS/jk4qTmJEdCVAdqC8ObO5tGOvE9ffmeRIMweNpCt7/jyiiiiuaQj19g1oe3+C8QraqAkG9e/n8UBfycvvDtrWkAAHpDUkHHSZPbt10frTp02xqkhsQBtJ370g2ZUuUVT7QQK3SlSgbQEYEq974QX1ZKftST1iv/fd778rIGBdQoYa1BKZ06fR8VIPpx0mHdKCIdlbBZ6h/0XqP3L4kJ7mXL5c2YW0ZGRb91Tat22jY541c7rzsgXaqzw4v4wZNULrjxsz2lnf/gWpn5UIexDXrl1T1ROqGVRAVvEE2kjRvBO9unfTlQITinWgvmFyQXXG6ia+ChMbkzpCR/cunZ2bzvFFT6j1a0Db+xOLV9B210HbyY3MTpsl+sZf1+umGh5zJYoUVNBJlyq5/qAnTxzvbMbfoI2kXK92De1ny+ZNzn6iAm0kbIDGrj+2bowuaKN+YMOVDdgyxYuqbhtpGoCwgzag2LHDN7qKYePv7Zs3KuVv3bxJ4BM6aPSwFICTnIjE07hy+ZJFmsvngL59dAyDBvRzno8KtGdMm6L1UX3YC6sCNu3gSYUyJXWyIXs89PsC2p06OlZTbPqlSpbY5SAXJ3xGrRWfqglWC1s3b1Z+Mq6Z06f6ZLVj59OH/N2AtvenH1KgjXpg3JhRmrA2a8Z0agUxYdwYmTppolot8KONS9BGsq8Vprf8df06J3ejAm0AFpWKvb51Y3RAGz0zQEdbFcuVFlYCRJsbO2qkZMuY3gW0aR8rE0CDjT+kbg4SEQPOdukY0IaXJBhGavdUevforoA4OBagfefOHd045hlVq1xBhgwaoM9t0vhxkiF1ymiBdstmTWTBvJ89Hls2bfQ0hICe4z1lck2R+HPdK1i7ZnVA+w/lzgxoe396IQXaPFB+4DmyZNTlvV0HihToDtqoTdhgy50ti7xw0y96sx7xpB5BR1m0YH7t58TxcO/HqED7x+86aH3quJfogDaTE+P77puvnJuctId6COsOu6T98OEDKVogn1QqV1p+nv2TtG3dUhrUraXps44eOeyi82X1UDh/HtVzR6YeYQOUvmfNnOEcQnQlbaxpaIPs7XYTSzaTeT6+SNpDBw/SNlCpBXthg7xPz+46yaKvZz/EFO8cMKDtnUchBdqACj98LCUsBxWGiGTTtbPDysEuaQNI6VOnUKA/Y9t4Q4+7aOEC1eNipufJ5A8gw87ZKkwQWEPQP2Z/SL5WWb50iZ5nQ88+kXAd9QT3NKpX12UjERqmT5ksyT7/1CfrEYJK0c6CeXOtbvUTU7pc2bK4gDaxXZDIsVFHDw8fUCu502Y1ZAVAGjp4YISlPNJ3tkzpVWpno80q0QFtxsrEAf3wyl5u3bqlpoi+gPbmjRu0Dax6APtgL/C9eZNGSjOTPWM1JWoOGNCOmj9cDSnQvnb1qkqEmdKmVvM1pBnAc+TwYarLBBTsoM0AmzVqoAD2ZZtWcvXKZSF91E8zpqlNddLPP9FPT6CNaqFsyeJqToiO9Pz5c2qRQR846wBEVtm6ZbOaG2IvTNQ3nD8AUwo0MzGwVAbAMQfk2vixo1VVwaagL9Yj1iZc00b15cGD+6qnBpwxgYMmu6SNxQg2zLhXo/NvUKeWNGvcQKMJQvuWTZtczAMxBcReOkv6NOqkgioD/fnZM2ecZo5Y59jHHB3Qhg/9+/ZWOpG0WQkwiZw6eVJqV6+m530BbSYgngnPhqS7169f11XH06dP1XEH81G79ZD1fOLzk/cTc0meEaoy+7sWn3QFa98GtL0/mZACbSSXrp1+UDDKmDaV6khxOMG5plXzpnreHbT37d0r6VImV+DOkj6tWmtgKdG3Vw/1potM0maTFKsM1CuAMRMFP7w6NarKfTfrBP4vW7KYXocunFJwtqAg3c77eY4CN2CDtUjubJkldfIk0q93L6lQtpRPoI2Ui+MGEnTBvLkUCDKnSyOlixfRlYcdtAFX7LeZEOAPnprlS5eQYoXyOyeK7l06uZggjh45Qq/hpIIVBqsJ+Abwt2rWRIHW/jpFF7RJ2UWAJXgAHTWqVNTnxoZqxbKlfVKPwMuD+/ercw3Pgk1MxlWiaCHJnimD8n/IwOCLCnjuzBm15OHZ4W1rbQLb+Wm+OzhgQNv7mxAvoI30iTkU+tbIClIe0t3qVStdquBAsmL5UpUakVxwZyeM65Url6V7187qLm6/gR867to/fPetNK5fT22Id27fro4xc2b9JIP695XXr8OdUiyPSED9xo3rMnzIYHWTZ1JgQnB3lbf6wkGlf59eageNumH3rh3WJZUqd+3YoW7s2Bjj+LJ/3149j9SPVYS9IPmi2iAaor1cvXJFRgwdIi2bNtZj9MjhainBxuLAfn2cdsGnTp7QSaZ6pYq6sgAkMLHD/A+dNqaAbEjanV+wODl6+LDygyU9Fh7wH5XEKw+qCKxhuI4Lu3shFABj3Ltnt/MSEwkrjGFDBqnKgIlg1ozpQpjTZUsXS+8e3eRPmx06JonfffN1BFd+nierpZ9nzVJnI+ikrT69eqiFDtJ4sBVoZoMUz1WAm1UT50yJyAED2hF54n4mXkDbnYiY/M9Lj72yry8/oAEw2Zf4nvq1QNvaiNR+3r1z0Ud7us86F1UfDhpil40FetDhc0RWiMONJOquP7bq16tdU6Xw7du2Wqecn1b7UenAnZVj+MUb/b42Cz+hMype+NpWXNeDVix6ME3EXJHkDr6+u3FNWzC1b0Db+9MIWdD2PrSY1XAH7Zi1Er93Ic0C2gSoQn8MYABsrFLQv+PKjn33zZs34pfQD6x3XO5HDhuqKic2yO0rkQ+MFZEO14B2pKxxXjCg7WSF40tCAO2LFy+q3hd9NCmxmjVuKE0a1lc9OBuOeOwtWbTQbeTm30BwgJUYkymTKvsNqAFNCeeAAe1wXkT2zYC2G2eIb0EqqUULQjfNGZI15orTpkwSXNDZPMVMEl041iPnz4YH1XIbvvk3ABwg/ADPA+CuWa2yEN7WFAcHDGh7fxMMaLvxCMAjQH9C0TcyDqxu2IxkbKYEBwfYjGcVxMbkF61auFjyBAeF8UOFAW3vfDeg7Z1HPtXAW5CkCuaIPQ/gJUGvEnJhMsVZjBAESNzEdzGTqogBbe9vvQFt7zzyqQa2xvz4zOEfHpCAgo26hA5ka1atVPNLrEoWLZyf4Mfr7cdkQNsbh+LJI9I7WaFXg8QMPbt1NYcfeIA3J5Mfjk8kvbDHBA+9NyNqirHqIfIhTkfYcRPB8kMuBrS9P30jaXvnkakRYA7gYYqaSV38P/5v9VzdvWtngtlncGcncdBwBTUAACAASURBVHRwVGKiIomDPRiZe92E/r8Bbe9P2IC2dx6ZGvHAAdQiO7dv09gpgBlSKJl1Emo2GKI1YrXEWMuXLqm63Xhge7x3aUDb+yMwoO2dR6ZGPHIA13s26dIkT6qARlzwHdu3hYQXZHTZRmAyjUXz8X9rKF17zs/othWq9Q1oe39yBrS988jUiGcO4JDCpmTp4o5Ub0QEJDYM3p4JrZw4fkzy5syuExQqE9z0P6RiQNv70zag7Z1HpkaQcABJFLBmg5KNOyIcoutOSAW1EBntyTKERcnUyRMT0vC8jsWAtlcWxU88be9kmRqGA545gOS5a+cOKVmkkEqj6LoJ7pWQdN0AN1EMcbwhGqOnVHWeuRP6Zw1oe3+GRtL2ziNTI8g4gGMKoWb79Oyh0ijgRrIHVCihEPHPF3YC3FjQMLbsmdJreOGE4qUb1fgNaEfFHcc1A9reeWRqBDEHiFOOtQXgRiYiMuTYU8EFMeleSSM2eOsWzXRFUbxwAc2K5PWmEK9gQNv7AzSg7Z1HpkaQc4AATP1791JVgmUyt23rVo2fHuSkeyWP1HKVy5dV4K5WqYKQWm3zxo2ye2fC0uVbjDCgbXEi8k8D2pHzxlwJIQ6gTiCpg+VNaem6Hz58GEKj8Ewq4VsL5M6pwA2Ao+cmR2ZCKwTROnTggOTMklHHeurECbl+7ZpLEu+ENuaYjMeAdky4Zu4JWg6QkJjUa5Y3Jbk7Q92bEl026crIbcpKgqNCmZISjKnVYvNi1K1ZXdKGpWRjjOlSJdc8sL+9fBmbZhPcvQa0E9wjNQNC6iYHZ5mSxVTXnSppYundo7tmmA9F7qASadmsiROwATSk7atXr4bicCKlmbgrJJa2Jib2KUiKbYorBwxou/LD/JeAOICuG29KAA4AQHVCujV7AuFQyIx+7dpV+frLtpItkyOMqwVqy5YsTkBPSzQdXvWw5BCMsXD+PHouQQ3SD4MxoO0HJpomgpcDnrwpe3XvKk+fPJHLly9p6q9QsPHGlPHqlSsycdxYKVIgn0qj3bt0TnBBtNauWe1UbRkp2/PvyoC2Z76YswmIA+iEkbr79e4lKZMm0iV4qWKFpV6tGiqBL5wfOqnlGAsWJSuWLdVVREJzc0d/XaNKRc2fGQqTaXz8TAxoxwfXTZ/xwgGk1X1790ipYkWcelOW4bmzZQnJmN2MJyE63KxdvVoWLViQIMfmjxffgLY/uGjaCCkOoGawrEss/XC/Pr1CagwJmVhUWgnFszUunpMB7bjgqmkzaDkAGPz4/bcukjbATRCqixcuBC3dPhH2/LnIkyeeD8zmSOxM7s3I6tAJ9SK7zv2vXkV+/d07kTdvRF6/9olcUylmHDCgHTO+mbtClAOA9oXz52Xb1i2yYN5cGTZ4kFpm1K9TS1Ob6bAWLBAJRQCvWlUkVSrPR+vWIg8eiBQv7vl6kSIOwG3Y0PP1zJkd93fr5vk6/R4+LNK3r8jEDysyYaB/Cga0A81x01/QcQC7bjb0fvvtN5GnTx3A9tFHIuPHBx2tURKULZtIwYIiw4ZFPJYsEWF806ZFvEb96dNFiN09b57n62PGOKTwdes8X6eNW7dEkiQR6d8/SjLj9CKrjffv47SL+G7cgHZ8PwHTf3BxgB/848ciHTuK/Mu/iMyc6QAzVAPBXhYvFtm1K36p/Pzz2IP28OEiXbuKoG7xtaD2GThQ5D/+Q+T4cV/vCsl6BrRD8rEZogPCgb17HTrgLl1ERo506HID0nEMOzl0SOTixRje7Kfb/AHaqGjKlvUNtJlkeU7584v82785wB69ewIuBrQT8MM1Q4sdB8hFuWzObHn57bci/+f/iJQsKQIwBmtBPfLNN/FLnT9Au3NnEY4//oh6LJZ0DVjnyyeyY4djszXquyJcXbd2jaxYvlRQk4VCMaAdCk/J0BgvHMiZJZNUr1xR3iG5bd4ski6dyF//KjJihMiLF5HSxI//zp078vbtW2cdzj0DZOKy+Ajav799K/fv33ehBFp/+80PgZn8AdovX8rvb97IrVs3XWjE8YbkF1pQndSuLfJP/yTSp49jL8Kltu//EDEx6Wcf6wa173fFX00D2vHHe9NzEHNg44Zf1SxwzKgR4VQS5rVDB5F//meRUqVEzp8Pvybs8/0mkyaMkzIliso37dtJvdo15fDBg/J9h68lQ+qUMnfObJf6fv8nCtDGCYeJhBybxOX+qt0X6sJ/+dIlaVy/rmROl0aOHjkce5JiAdrQePPGDenU8TupXKGs0te6RVM5c/qUVCxbWvNmEr5VVqxw8H7VKpH9+2O98bhm1SoF7ZHDh8Z+/AFowYB2AJhsugg9DjRpWF9tt8+fO+tKPEv2rVtFMK+7c0fk2jX13Dt27KiULVlczQefPHms99y4cV2+/KKVJE/0qbblF1B0pcb1v0hAGzBkEsqbI5sMHTxI3mJLLSI7t2+XhnVra8o2wqDaVwauDUfjP6xUYrARyEpk6eJFkjt7Fpk9a6a8e/tW3v/5p6xbs1oa1qutE2j1ShXkD2zAa9USmTs3GkRFXRV3ebxiSxQuGBJOPQa0o36e5uoHyIHbt25JxrSppEqFcpFnv8E8DvOy8+dVQi2UL7cA9BZgW2wjRjTOOyQi9gsoWg17+owEtAG+NMmTyqAB/dS00bqVBBGF8uZW+lo1a2Kdjt0naqQY2LgT/4XEFaxU1IEHS5g//pDbt29JhjQplUZygr5H5XTiROxo9HA3K6MUiT+T/fv2ebgaXKcMaAfX8zDUBAEHFi2Yr4GkBvXv55WaR48eCokWkGLJsuJealatrIDTq3s390v+/98DaJP1JkuGtFKrWhV57WZVgV7byoizeOEC/9ATA/XI9q1bJF3K5NKiSSPHpAKdN2+q2uPmzRuSOnkS5SFhdeOqrF61Up/5wP5946oLv7VrQNtvrDQNJRQOfNGqhYIE1iPeSu+e3fXHPn3qFHmPc0nFik5dNzE0SMjLJte2LVu8NRX764MHi6CeCCvECmfSSPLp3zR7j3Xe+mSSyZQutWaIQZfslxJN0H7y5ImULl5UVUjEhNGycKHI2LHqDIRKKdEnH0nBvLk0UqNfaPTQyN27d/U5MQG/CVMfeagWFKcMaAfFYzBEBAsHALLsmTMo0L3CgzCKcvHiBSHwVIE8ueQJDjks25F2kyYVuX1bTp08IelTJddl/4sXz6NoyU+XiBliWVeICEkSoI8QtJ6iAW5Yv14np4rlSsvr136ybY4maE+dPElp6PDVlw4aMburU0fkH/5B3l+/LqNHDNfrZO6JyyBS8IckGamSJdbNYz89kThpxoB2nLDVNBqqHNixbZtKzrWqV/Fqt0syBfTV/e0RAh89Etm0SYc/oG9vvd68ccPAsMOmHsEtH+sV6CPGintBv960UQO9PmzwQPfLMf8/GqBNjstypUooDbt2bHd4ouICj3VOnTry+uVLKV+6pF6fM/unmNPk452Y/sGvUUFuRWJA28cHaqp9GBwY2K+v/nAx9fMknVpcQPVQMG9ulWR3bNtqnXZ+Xrp0UXJmzaRtRZVkAekR8PLUFxYVz6Nj220D7fPnzqnUmDzxZ3L/3j0nXdaXXTt3qEqCzTdijEdWHPR5XiWg/nn69InrrdEA7YMHD+iKBj49ZqXSqJHDqzF3bvXsXPnLCuVf5vRpBNPEyAoTUGSrIswwsQ7xxF/39jZt3KD91a1VQ/6Ijgu9e0Nx/L8B7ThmsGk+dDiAdMoPFmkLUIuqHD16RM342CS7ejVMFxt2A4DepkUzbYe2brGpFkkhvVbLpk086lGXL10irZo1jeROD6dtoL0qDPAK5MkZ7pASdgsAV6xQfqWvWKECDsD00ByTBuqLH77r4HIVB5cpkyaoiSMbmTggbcVqhBIN0J46eaLSQF5IzdVZv77Inj0aeOr2zZuSL1d2vY60HZmeGRrJAzpq+LAINPbs3lUK58+rkyt26Q+JchhFwVKFjPe5smaSO7dvR1Ezfi8Z0I5f/pveg4gDmPplSZ9G0qdO4VE6tZO6ZdMm3bhKmzKZS5Z3QGTGtCnS4at2CjhssmEXfe/eXRdwRIIFWDOnSy1lSxRzgFZYB7SxcsVySZU0kZod2vuN8rsNtC1dceniRVyS4yKVdvrhe2lUr67S165NK5VC3aVxHcfUKSqNN7Opd5BYWYVgT82EgwSMlQ37AMePHXMEbfJx07Vf755KQ4O6tR1WI2FxuJGOO32Pg005vd67Rzel8dzZsy4qK4B+UP++Kq2jqrIKvO38Q0cpUaSg7N+3V06fOiWVypeR9l+0djF5tOpbn7RXuXxZ7fPAvr3W6aD7NKAddI/EEBRfHNi5Y7v+YOvVqu50QImMliOHD0nqZIklyWcfC+oPgAJLiPFjRuvmmaXvxhuS8wDlvbt3nc3xf47MGYU43nbQRgrmnuxZMkqNKpViDNrkkETKh0Y2RKEP6bF7l06ybs0asbKe46V56eJFYSPQKo8fPZIWTZtI/tw5NDWbHbRfvnghVSqUlTmzwnXMDt10cRk+ZJDDVI/wtlEVQgA8fSpjR49UGskyj+UINPKJzfTe3bs1TyRjYHKD311+7OgE7evXr+nGYcmihaRI/rxiB21MGzFxXL92rZOKDb+ul1xZM0e56mGi6tLpB6UJJ6RgLQa0g/XJGLoCzoHBA/rrD7ZH185e+3727Km6qwMqWIg0aVBPypcqIdOnTFbwad6kkbaFhIc0e/jQQZc2WbqfP39Ofp49ywW0kXiHDBwg6KTHjx0dY9Am0zxgCH3EUGnasL5UqVhO1q9bq/TlyZ5Fr9WuXkV++O5buXH9upM+MvggTd+7d0+v2UEbYL1y+bLLqoFJCXWLAnlU6hEsQ1B/FCgg8tNP6pSEQw005suVQ3mIiz2qqadPnkiaFElVim7XpqV0/uF7l9XP8WNHVSWCMxPWMXbQdg4k7Av66RHDhqg6h0knqsIEDD2N6tWJUiqPqo24vmZAO645bNoPCQ7Y9dmLsRP2oRw5fFj1uYXz55G2rVvqhh7SGsA2dvQo4fw3X7ZVkIvQHCFF372LANr2etEG7bZtnVljoGPVyhVqfVGsYH6VXonhYZUvWraQogXySecfv5c7dyLX3wLodtC27rc+6Qc6UY8gsUeq0wYse/YU+c//FGGj8fRp9Tb9acZ0tdNGldG3V0+5TmyRBw/k5dOn0qBuLfUkxexPNyqtTm2f9B8VaLMvgBs8m527iALopRw7elQwk2Q8TMzBWAxoB+NTMTQFnAOvXr3S+BM4ohw7esTn/rkPG20sKeyFSUDP4+7uqQDaf/7pX9CGBls4UwAN1QVSK9/tRel+8kQnGPt59+/eQHvenNmSMU1KwdJDLTQ8Sdo4q5w9K/LJJyK9e7tE5IMurDuePX0abuHx1VciK1cKUf0ATnfa7TRyLSrQ3rxpo0ydNFEqli0lDerUElz3oypsGmfPlF7NPlHBBGMxoB2MT8XQFHAOXL582aFKyJpJbkZh7eFvwpzqESTRRYsc8aDDADbaknaJEiLdu/uVxMhA+93vv8vgAf0Eczw2JJ0mdXbQJjZLv34iWbI4Up0BmG6Th0diSYJQrpxPSRC8gbbVvoJx5gwyY9pU65THT/ThRBhERbJkkW8rLo8NxeFJA9pxyFzTdOhwYNXKX/SHihuz5ooMEOlO0CbeBt6MhBslXverV7HSafuLfE+gjckfFh15cmSVPbvd0psB2iT3RXedJ4/D7rpHDxFbbHGvtEUjc40n0MYKZP7cnwVrIKuwssAyhH0LbwXzQEAbm/1gLAa0g/GpGJoCzoHhQwfrD5W4I4EsTtDG3A3VBjE3yHN47FhQgjb6+uFDBkvBPLmEzcAIBdAmczuZfthw3L07+vGuYwnaJJvInS2zTJ4w3qlaYSMYU06sSLyVyRMn6LvA5m0wFgPawfhUDE0B5wAWHkhXvkhi/iTOBbRpGODGzvnu3aAE7bt37yj4kdSBZA/2Q8Oq4tVIQmTUIt5M/yJjZCxBG1UNqo082bPqBiyrAsz9enbr6lN43DWrV+m7gMljMBYD2sH4VAxNAeeAFQODsKyBLOfOnpHNGzd43BA8f/ZsuKehL3p2nGu+/toh2YZtdKoOGT2y/eCaj9cP7tsne/AODbv//t27Ao/0mD9PFtmOk8ePiaC3PnLEN911ZIyOBmi/f/+nbNu6RY7Tt62wIjhz+rSaLg4a0F+I2MjmsC/lyKFDGgIgTfIkkXpi+tJOXNUxoB1XnDXthgwH+IGT9ABTL1/MwgI+MOKPYEfNEVXkQUA7dWoRrDWaNxdJmzbigeoCF20CM3m6zrkDB0Tmz4/8+pw5joiG2bNHrINqZ2gs03bhFLNsWeyAPxYPiZRm2LhjSXT27JlYtBQ3txrQjhu+mlZDiAOXL13UrCUZ06QKzuSubFIiJWJRQUb4vXs9A9r48Q7ApO60aSJdu0Y82CRkEli6NOI1q/7lyyJkcLH+d/8kL+Phw44kx3/5i2PD0V6HdGyxKQSHOncu+rrw2PRpu5eNVjIRJf7kI5904LZbA/LVgHZA2Gw6CWYO7N2zW6XsXNkyCy7cQVnQde/cKZIjh8hHHzl0xl68++JkHKhVtm93APW//7sjE3p0IhH6QlQ01CO+NBfdOlikVK1YXvXacZ6MObrEiYgB7RgwzdySsDhADkWkKiLWxXkex9iwDsBEZ9ypkwiAmT+/yMmTsWkxeveidsHKpUIFh1cjErcvdtfR60UknkEbcq0wBAP69Yku9XFe34B2nLPY9w7Y9WaWt5dHDx/KzOnTNGaE04HBXsF8jzUHZv80U6UqpKuQKLwjuGQjdf+//+fQQQPocVXoD3UJ7ueEYCX2dVS69djSEQSgTfwZrInsgbRiOyx/3W9AOxqcJI/e2tWrojz2o2+MQWFne+yokdK+bRuXzQ/iWxDIvn7tmhEAPQbdmFs8cKBPrx76A/VbRnIPfcTJKZxxZs50bDwOGSJy8KCLG7tf+gSg0VeTTQZnmVPh8Uv80r6nRthErV3bJ49IT7f74xwBswBtsv8EWzGgHY0nMnqk40HyMCM7yHxNrIfolqdPn6rDAu3aw14a0I4uJ6NfH2kKvhP6MyQL1iBFioj83/8rAnjH4P3zOG506FiI/Nd/OWKGBEqHfuGCJkLwSFOATi6cN1ffCeKhB1sxoB2NJ4Ip0OKFCzweZPdAL5o/V44YuUETcIhND0J23rgRHibTgHY0HlAMq7Zo2lh/oLHNlXhg/34NEfrlF61l5LChGggJe+ZunTvFvRXC/fsiuIvjiVi8uEOd4cYPTBt3bt8ufXp0l2+/bi9E2MN7EAefTh2/k0MHD4TfMWqUwwWdyQATQDe1XXhF/34jpsnGDb9K104/SJuWzTVWOQLNxHFjleZbtyLPAuRPStavXaMmf3lzZIsQDMyf/cSkLQPaMeGa2z3EEyaKGNLaz7Nnu12N3b8GtGPHP1/uJl0Wz27i+LG+VI9QhxjNP3b8TkqXKCq7d+7QuM8k0/2x47fCygv770MAX1wXLEyI+ZEhg0M6HjzYqXsm4iBATWKF3Tt3yv3792TS+HHSv29vSRsWt/rRo4ciR4+KEB51xQoR2/1xTTrt421JHOt6tWto0gP+x4uRFRA8zJQ2ldfkFP6ic+uWzdon9tpMGsFUDGjH8mmwcUgsBn70tatXjaB35vq1a1fVgwydNWEiidnr7p3FJiOeWL+uW+eS0y8q0Pa17VgOMcHfXrZkcX1+c+fMivZY+UHXrVlDihbMLyTztTaLyUBjtUtmFet8tDuIyQ1E1yPaX8GCIo8eyfVr16RQ3txSs2pll9RoZLLBYoZ3l0wvwn2oQzp2DPeqjEn/MbiHhBDkZmzRpLG8hA6O9+81nRnZd6CxQ/t2AeMjvzvyRTLpPmAVE0TFgHYsH8bRw4eF7Bs8XHLY2QvAPHnieMmULrW+AFkzppMUST7XA6kHyxCrsHRt1qiBvpxHjxy2TktkoK1tT4iibaSmBFyI5AbPYluY+ArmzaWqrV+WL4tWczyD+nVqCk45R3HdthXUXVXCchx2+fEH25UAfYU3r15pNnfoIAkAqbzshRVi8UIF9J0jSJIATqhFAqW7DiOGDf7ihQsISYb1N0ESijp1dCOSiQVvVUCbrDuBKqdPn1JXdmKFuyduDhQNkfVjQDsyzvhwnnCPSC/osnnpAQB7IdwnyzqkMOJLXLlyWfbt2SNYKXBPty6dnPqy6II2OQBpmzRPntomF6B7YH47baH+nWhtX3/ZTk6eOBGroZAkgBCjuCwTMD86ZcqkiZL4079pxhX3+9iMtgBxzaqV7pcD9n/vHt31XZs4fpzDDd4WF4TQpTmyZAwXFNwSOQSCSCY+dNeAMpZZWmwmfyQiwHoqZdJELinR4po2JguEMRI3kxg4mIoB7Vg8DQKq87KhJyT7hr0Qk7lUsSIKBu5SGC8E2ayRzlm6UqID2rRNeiaAxr1tNmpIlWRv205XQvmOVAzvCbfJsjlGP6xbt+TRnj1SLU0qKfa3v8qR+fMc7tO4UOMKjuTJd/fj+XO5SnyKjOl0FXWfejduhNd78UIuXjgvGVKnkHSpkutmH1H7XNq5c8cRY5oUXe7t8z/tIS3jUu7pOvcBsliOuF8/f1512SeOHZP0qVJotLvX2FWTEeavf3V4Mb5+Lfv37dN3iLRoL148dx0DbbISJA62e/vW/4wBQcX63/0T3ThjIGaK+zVofPtW0B2jhmA18I6+cGGvWFGkcGG9zoTHc2bfgdWVcJ+9LfTNmD7az9m/w58YFHJ1kvszdfIkmssyBk3E2S0GtGPIWpKfZk6XWn+UZIp2L6g4UidLIhXKlFSJF6nXOt68eeNUhVhB5KMD2o62E0uFMqWcbdrbbtKwvr7oe90D1LsT6fb/pYsXBBUOL2uwH6mSJtIx8oPmICIbwesBS58K3n1ly8qf//Iv8vLv/15e/N3fyR//+3+L/Ou/ivz3f2toVGnf3vE/56yDeNEXL8rggY4kwD9+/60I4EWgJer8+7/L+3v3ZMK4sUoXCX/fASq5coW3Qb3vvtN25NNPXc9b/ZQv74gRQhAoTPmwCrGu8Zk1qwNU69VzPc+1RInk/aNH8lXbNkrDuDGjHYAMYBMr5KOP5P2bN9KvTy+93q3zj/In/MC0z97HgAEOkLSfs38nDCuTwd/+5nqfVYd42qha8uWLeD1TJnnz+rU0qFtbaSCU6vvjxx31/uf/FMmbV/549UqIb87z1bCvTI54glrt8zl3rsivv0bkj1WnWzefXgf3ShZop0qWWDdF3a/H5/8GtGPAfZZ0lv6ZZKSeCks9Xjb02WxQ2g82fUjTxHUrKHt0QHvNKt/a3uhDwHc77SRmzZE5o+po0dMG8wFIwz/rSJH4M5XGthGL2peCBLh/vzxZskTaJE8q9f76X3Jh4kSRTZtEtm1zSJgsi/nffuzapZIzOlj6PrB/nwOYrDpHjsjDhw9UT871saNHOiRi67r1iRSK5IgttHXO/klAJqRY4npwYBViv46HIqsBgM5+nu9HjmjWFmKpQIPqspH0yc8I+M+eLbdu3VKBg+sb1q9z9OHeDuFgAfNduyL2QV2kfWjEocz9Xv7HYgY+e7p+9qxOsEiyCD+sPnXVwH2VKomsWaN7RKgAWVEeYLzEhcEj0+qLGCiMi0mRZAvWeeuTwFVcj0EhaBTvP+/V7l07Y9BC3N1iQDsGvJ0/72dJnuhT3TiJzBxo4fx5+oPJkTmDNG5Qz+OBFHGDpWM01SOYk/Fj89q2zd7bl2EyGRHxDmk12A8ruwjPoU6NarJ+7doYmYOROzBbxvT6PI9j7uZDOXniuFiSvnuWcKxEBvTtrc8HXSzxst3LqZMnZdzoUdL5h+/VNv9eJMBy8eIFGTpooPvtPv2/ZfMm5zvyAtUdKcz+7d9EmjSRP16+FGzJeYdUjeaWwBYBAnXTqBHDpEfXLjLv5zly7144+LF3Q6xqbKdx954+dYqaOfpEmK2S9RshkQIg6Sw7d8rbV6+kbs3qSiMR99wT8kLD9q1bZcjAAdK3d091SLP/Fll5btuyWS27+vTsofsVvN++FgPavnIqBOrhYENGi6SffawvRWQkE4SIHwUSti8lOpL22tWOtgGrD7WsXvmLmqmxmnj16rcYsyEmoL1pwwZ9tuis3QNMARRWhDgSK7DXYQeL/fv2aqzmtq1ayKgRwzWTOHsfdocqBsNeB2CGrjcmxYqnUr50SXmNiqJsWZGBA9WUbtaM6Rp6lPcTu2jUdfbC+PLmzCbffNlO8AKuVK60VC5fxgnMOL+QCabjt99o6AUS4VavUlFUt29vyMv3Qf37Kh/Jpm7nI4CLaWzRAvn0Oo4/7mX+3DlqEcOG+6jhw6RcqeKCk5Tq5kXklxXLdZMV1Q/AjvXMhLFj3JuJ9H8D2pGyJrQu8DJ93+FrfZG+++arKK0zTp48IelSJlfLBBcpIpIhRwe0sZhgZxurB1/ajqTLkD79+vUrwXontiU2oM3S+S767LDCMpr3wh5sCMkb/TfOLJS2rVvqwbtEQQrGVXrk8GH6v0qIW7eoXXWmtKljDNp411qStJrRIc3/+acsXbxIpU9LvTdk0ACdVAb266PASTbyKhXKauJe3kkKEwggjt4ZnjMp9ereTTfPGd/t27dUHYS3cHSKlZezdPEigoMShT7x1JwxbYryhTHQL5Nfr+5d9TpOQFjmIOEjcUMDq6Qs6dOoRM2GZcmihWTMyBFOiy6MBvLnzikPHjzwiUQD2j6xKfgr7di2TX8I6ArRE2LF4X7gVMGLhHSFVUmiTz6S4UOHOHa+w4bIdZZyF86dczoLRAe0HW1XVFOuET60HfycjT8KYwLa6P7RwwIoDevVluVLl6irevt2bRR8alRxeFgCbEh5y5cu1gEi0QJsqEesAuCgBrCkSczw2PMAZAhaFG1JGx3zy5eyb+8eP9jM1QAAIABJREFU3QiHRsKMLluyWAUONk55Z/Plyq70s2GK+/7BA/uVJEwgyWSOo5BVeDcrlistU6dMUmBftHCBi08C7QH0I4dHL2PNlk2b1GQSGpnMWB00b9xQhgzsr5uUWN6g08bNHqmeDXj4hTQ9bcpksauVcIAh2fCypUv093fl8mUXiy6eEUKO6s6tgUXxaUA7CuaEyiVelm+/dgQWQsotXayIx6NsyWJiWYQcPHBAcmbJpOBatVJ5GdC3jyaORZeNigUJ4/nzZ8qC6IA2N0Tadsvm2jZL8w9VCo/OO4WVALbKgIMnKyBPbfGs8IK13L+xuBk9crggpTIhN8Qi4pOP1NRu8aKFTmnPU1uYbGZOl0ZW/bJCL//+9q0zds34saOjB9pE5MMTsmhR+f3NG8FGG/tmNvKIiQPQWaqaIgXy6pjx1iTHYoSCZB7mLLZpw6+Ck8luNiTdCr8L8i9ibbSLTdVoFN7P1i2a6f4ANOLPsHLFct28JCYKew3JEn0qqHhQK0VW4DmTIZv77o4wWHmhk8esceSwIZE1EeE8kj3Ji+GfNaFFqBRPJ8xGpI+M5+VkucWyK6qjVLHC4clYReTMmdO66cOPBOmMjR9cils0aaSWI7xwFICgR5fOUrxwQTmPnWlY4XvZUsU1/oJV17rGZhAbSi5t58strZs3FXS97vWt+8xnOAcePXokrJwA7ehYCfC8Thw/pvcgeVuF9wR1AhuBePpFVa5dvaKA1K5NSxedrnWPz6DNO4TVDGaFmMTh1fjunbDqw5kLMHVXCyBJA7YPHkTioo1VyoMHwqZr4fx5JTJnLd5PgJ/4IJbKx6Lfl08kewB5547t8syK8TF2rNprnzx+XK8hyUdW4PfWLVtUNTJ+zGj9Hdnrjh09Sh3gEJ5YCfiqUrNM/oydtp2bIfidlxK1RlTHs2dPI4Al95HGCksRfsgPHzzw+ILzcuJabAdbvvMyR7bZFqHthw/kzzBdZAiyOOAkxxS0Y0soYMgEjTcgz9xT8Rm0MZdLlMjhkHLokN9yK+7asV0FDII2Aa7q8GNLtkDseFQOhGSIClg9jS3Kc9h/Y3/ug4cm5oqY5g0e0F/evHkdoVlWFhxbNm/W1cKvPrrCG9COwEpzwnAgODgA2LDJxvLcspmPS8qQDI8fO6oqGeJ4W+oxT31GCdpI19gu4z2I0wmSsd1szlODPp6DRsANnTLmiypBk4H94481SzvXkdLxvGVzEJWOX4vNjT2ydhFmML3FIxb1h9IYVhn6EHTsFilsdJYpUUyGDR4UWZMu5wk5gforTYqkutpwuRjP/xj1SDw/ANN9/HKAH3uBPDl134FYMXFdDh86qOoYJENvJVLQxsmEPJF4cBLJz4saxls/7tfXrV2j0uuMqVPCL6GiOHNG3j97Jjh3ZUmf1mm9EV7JT9+8gDaAzeYk1iJYw7iX58+eScokiWSLLZYMG5WEjrAnGHG/z/4/9vVEF8Ss8zKu9UFUDGgH0cMwpMQPB6wQqtj+xmX57eVLqVy+rII2AZwmTxjvPDx5r0YAbVQT6K5xYSc3JHbXeFX6sWAeiLdnkQL51HnGTuOeXTtVgs2XM7sULZhPxo8d46SfesTp9kvp0EGkRYtI1SNIwdkzZVBe4uBjp/HM6VOqDvm+wzdStkQxNQGEbjb/SxYrLHdsJppR0Xro4EH1hmRiIK53MBUD2sH0NAwt8cIBnJQwOyOMblwWzPlwqsG6xP0YPcJhp23vH0sK4oM4C3E0rMw06K7DNrGd1/3whfDCjerXjUAf9M6dPUs3yd1pt/7326SHFQyu+5EUrLOsPt0/cQyiYH1CzJUqFcvpZi8bpYC9r2X7tq26OY0KyD0YnK9txFU9A9pxxVnTbshwoFnjhgraQwfHzGXc14G+//NP1b2iknE/7JvPVntsKLucRwIdOtRvumurH/snVjHutFn/cy2q6+iS/VJGjxbp0iVSSdtXGuAdexbos6NLG7GD2OfInS2L6zPwywBj14gB7djxz9ydADjw7VftFbQ1Yl8wjQcTuM6dRT75RDcANfiSv4DRX+NE2p8wQSRLFsdmKLrv2K4AvOi0/UV6VO1YcVEwZwy2YkA72J6IoSfgHBg2ZJCCNvbtQVEAPSLYZcrk0F0jXUdhqxzvNEPvrVuOFQBhWIkmaNlcx4S4IABtojOiMiO0brAVA9rB9kQMPQHnwPQpk/UHWqlcmYD3HaFDyzLkn/9ZpGRJEXTXoVKIBdOzp8h//IdIoUKOiScmUncQgHavHt30nSCWTLAVA9rB9kQMPQHnABEZSf9WOF8eF3vfgBOCU9TXXzu8Ggml6pYNKeD0xKRDxkBs6zx5RP7zP0W6do1+zskgAG0rBVpc73PEhMUGtGPCNXNPguIAbtS4sePOjudqwAsSKnbXK1c60m2dPh17vXDAB2HrEL076hHioGDtkjNn9CagIADtapUqqKQ9bcok28CC46sB7eB4DoaKeOQAEeEIs0rQozOBTOKKVIruOkMGh0qBzDkJrZC1BlNF7MmXLhXBnM9badVKpHr1SK1HvN0e2+tYnBTKl0dXXyTNDrZiQDvYnoihJ+AcIDYFUeyQtncCooEoJM394QeHJFq0qEgss8oHguRY9YGbPbkuc+cW2bEj6pUEHp6kY4snSxnCLhO5EZO/C+fDg7fFavx+vNmAth+ZaZoKXQ5YXpEE3I9NwU2duNCTJowXwoISkJ+0WIsWzJMnlpRJWrPMmR2WIUOGxKndtftYsLkmLvWMqVNl5vSpGjcbR5TVq1ZqDA/NeO5+kz/+tyximKCIRIiFSSSBsrDDho+klCPRATGwSXxAtqIli6KXaCEmpB89fFhI6Et2Kl+jAsakn5jeY0A7ppwz9yUoDhCEHxMvUlfFpJDMF687UnNh44tbeueO3wv5PFG9EM9aAZFoeSScLV5cBPCOiXVFTAgU0TyP7du20eQc69et1byaROhjzGzEkhrPxZknhv1EeRsTFxPVv/yLZlzXhMW2Gwj1+kXL5po6DAcXkjf88F0HIYE2z4fMUXFdiB9OX8SkCcZiQDsYn4qhKeAcsPIVEpQ/OgVPO+JnkyeRjDMEK7IKUQOJQgcAAI5y+bLIF184MpxHI8ms1V5MP6ER9/SCeXNJ00YN1C2bcxxkqbGSFI+KZuaZmNKjag9MGbHpLl/eaYOO6zibwT27ddGEErQPjSRBJtoefITeuC5W0uj6tWvGdVcxat+AdozYZm5KaBwgLjOgUL50iWgtiYmNjn03SWivXLniwhZiZpPlCN0o0ps6oMSD7lpzPObIJtUrV5SnbiqJXTt3KH1I2idOHHehP87/YYK7eVO7gVcZ0qTU1GivMHVkAzMsLjyR/Hg2yRN9KkTri+vy9Zdttb/+fXvHdVcxat+AdozYZm5KaBwgQQXAQPhOAjv5WoiJzQYmy3j3QmAjVCOE+Iws0YH7Pf7+n5jSSIxI0wC0e1mzaqWOu1C+3PFmo87qhIxPpF07f+6sw2W/alWn9Qhp0ng2dWtUj5CZxn08sf2fbD+ouOiPvJLBWAxoB+NTMTQFnANkZiHcJ9IceRt9KYAyOQzr16klJO11L5aEWLNqZfdLAft/xdKluqFGdEE2Id0L+mwA6of27RxOMTjGWAcSL1lxrP/dP7lGHffz9v/dJHv3/vl/xLAhqlMf0K+PCFY1GTOKlC3rBG0mRmgcNKBftAM/eeovqnNsejJx0x+moMFYDGgH41MxNAWcA5j9oT7gx0oyXm8FXWuNKpVUteAMxI+JGsv6vn0VXNqFbW4iKcZHYSIieTTqmX0eEuMy0VhjXjVmtMj/+l+uB04+5Gt0P2/9P2OGI7639b+nT8z7oig3b97UlGXw/RaqEoAyfXrHRuWsWWpxQw5UrgciwS4boUzc5JTEqiYYiwHtYHwqhqaAcwAQ7turh4IDViD8H1UhZRibY5nSpZanT584nEa+/17kn/5J5Jdf5NjRI5IqaWJtz574N6o2/X1t25YtqrqJzApi6+bNKoWTxfw+oP4P/yAydarIyZOOA53ygwfh/3N+7VqR//E/RH76yRHzGs9Hq779c9UqBy+82L1jYgkg161ZLZznWNX07i3v79yRuXNm63WSads3ef3NK6u9BXN/1v4a1avjzFxvXQuWTwPawfIkDB3xzoFNGzfoD7ZW9SryxktGGLKlADYkUFAVQalSIn/9q8a7xrSvacP6ej1fruwOUz+30QHkv65fJ/R5797dcMCy1WPiOHnihJw/e9Z21vevvcOCHn3Vrm2Em5AiK5Z16G5JJPD7uXMi//iPIps3a11spckCg84b88WHqC0o0PL//X/y544dwhhITbZm9Uq5fv2aq7kg9ZjAogBtzAtbNmusfOrTs3s4D1itPHigfMmXO4deb9emlWv7wj7lH3Li+HFZsWyp8lInTweV+hd10OlTJ2XVLytk545tETZhbVX1K/yGDp7riKFD3C8Hzf8GtIPmURhC4psDN65f082wbBnTCWm3oiodv/1Gf9xYGqjet3FjkSNHhEQHM6dPk6wZ0ur17l06hYNRWINscOXMmklq16gq6LtLFi0shw4djNDd2bNnNOkwE0RMChuQANCQgQMi3D5m1AjJnS2zXsekTkjDRRZ0VCIiMnPaVE0AULdmdQX3EkULyYUL552g/VPL5lIgd05hgmPiKpw/jyxeuCAcWH0AbTLClClZTGnAnt1Ztm2Tdy9eqE02Ti6MYbGbUw2APXrkcMmTPau0bNZEihXMr6qe27cdm8hcJ10b2eIb1qstFUqXlFrVqsr1a1ed3bh/YbKtUqGc9sd+RbAWA9rB+mQMXQHnAN5vVSuW100xbz9acg4CJs2bNHJsmIVJ5mQx792zu5QqVkSvb960UbOC431IefHiuQLxsMEDdfmNRE/4T2y8rYKEiARubYjFBLQBLXTu0Ag99oK35piRI5ztEzALAJ07Z5ZWu3b1qmZa/2X5MqXx6dOnUr9OTcEx5/3Zs/L2L3+Rqv/v/ypIY53CfgA0ogd2muT5ANpI+xafsI22CuMfOmigkFgYU8RMaVOpVH/t2jVZu2a1VsM8EXNK+IuEfO/uXTW97N+nt/6P+iprhnSaVR6JHtPM8qVLqpOO1Y/75+PHj9XSh8mMDclgLQa0g/XJGLoCzgF+/AP69lGgGztqZAQJWZ1CsJZ49EhGDhuq9TKkTilLFi+Uc+fOCtYPeO/dunVTf/y4QZ8+fUp6dusqe/fu1vFg+oee1unSLqIAmjdnNud4UTmgKydpbZUKZRUQnRej8QWHHkCbQFg4rpBhvHvXziqB8p1r2TKll7Nnzki/5k3lzb/+q8i2bXL37l2ZMW2qvA2ziIEv6PlrV6viBO3xdeu4REQ8fuyYmhWePeOQ1OXaNUem+IMRVxDWEAD7erVqKB05smRU93pcyJnEyNe5dctmvYYUz6rjyzat5X6YnfbNGzc0E7tltQONLZo2lratWqra5PKlizqpEPyJwnVWRU0b1be6j/Bp2eqzAvJkaRPhhng6YUA7nhhvug1ODqxfu0alO9QWLi7duJuTCZ2IfOPHC0GF2OAD+Dgyp0ut2ckBIiRVLDY4T52NONZ4KI8fP5I9u3ZJ4fx5ZTzWG2Hl1s0bCvwO644KMQZtTBezZUzvpDFLhrSyaOEC+ePdO9m9c4eeZ2KpWK60HFu+zEWnDSkA3f179wSXd3Tzc2b9pKCNTlt2hasP4NO0yZNUOrdAVR1jsL4Ic5Cxxub+uXnjRmEj1OIj7v7r1jqk6UUL5ut57OCxcsGyw1l4Hg8eKI1YneApST5HJjz3gtTMqiF7pvQaY8X9uvU/ky50kLUmmIsB7WB+Ooa2gHPAstNNlyp5uGckFhRE5MOkDfvhMK/GixfOK6ACWJcvXXLSim4UdcismTMcZmzOK+FfUCsglaM/L5Q3txw5HDFDTWxBm96OHD6sqwLoIYCVVV6+fClTJ02U2T/NkLvoszG1s21EUo9xNKxXRyekIgXyyZnTp+U9Kw3ifofFHQfYkYjR4RN72jnR0R5xtL3YvKPGOXbkiMY/QdePlC+A8zxHgK1pkycrIEdwTmIyOHJE3v3+u+rcUaEgtd+8ecMaon7+9vKl7hsQxRGnmagsecqWLKYqF1/t9F06CuA/BrQDyGzTVfBzANAhVyQS1+5dOx0R+ABqUmiRJZyAT34o9IOeFeDv0bWz6rmvXHF15vAHaPtMqgfQhkakWDYgcXBhcvkNgF+wwGEKKKLu+UjzA/r2ltevX4V354NOO7yy27eWLV2ca9yuuvzLpIGq5NyZM4IVDJuirHaswncmAlRADerWFpIbPPOQvxJzQuyzUcUEY2Q/azx8GtC2c8N8NxwQkWWLF0v6jz+S3SVLOGJjYJuMdO3FdjumzEMFkTZlMlm6ZJFLE/EN2nZiMP9LmyKp7Jk5U03+UI9gY01ArAljx8jvv7+1V3dYmXgx+XO9wfYfNt7Ll0c7AuLWzZskeeLPXFY9tlbVwQh3fgDcvaACYqL+8ftv3S8F3f8GtIPukRiCAs0BNp2IOYGdL1YI169fl8mJE8mLf/xH+RPw8CNYE8sa8zmn7ldE9caoY7CJtpf4Au0tmzdJ6WJFBI9KqxzDmSh5Ejk8d668/4d/kGlNGutmKWZ+SLsRSmwk7QiNRTyBF2qDOrUFNY9VoDtl0kQa5wUrEzKp28eAGoc4MOxHuBeiO6LfR8ce7MWAdrA/IUOf3zkAyGDtMH7sGLWKIFwp0f2wYCAZAo4knVu1lDKJP1c9rj8JePLksbqWY9nBhiUH0h0Bm9w9/gIK2riQ58ghsn+/ghr2zcOHDtYJ5erVK9KqWRO1dX57/Lia/FX5r/+Q77/5WlVIe3fvFut4gc6bEsegjdMRtu6zZkyXe/fuyemTJ6VaxfJqgskkjFMNapsJ48aozp5AVNhgY2Hirv5gf4GNVhI7o8cP9mJAO9ifkKHP7xwAtA8dPCDpUzliXVuWC1gpWHFE1q1Zo8tlu1WHvwgBUCqVLyNFC+aT4oULSs0qleQI8aXdCmDy5RetZe7s2W5X4v7fLZs2aYxw7KhxIW/ZtIkjgFKYnXbr9GlUx42e237gvq8ljkGbDUxM9LC9Ll6ogOqiMRXE3JKCPh5pu1zpEhpBsHjhArpXQZha97J3z25Jkfhz3bB1vxaM/xvQDsanYmiKcw5gjWB5v1mg3ah+XXWEoXOsDjKmTaXONpa9sj+JwpmFDTTcv+1LeHsfTC44oFi2xvZrfv+O/XP+/I6AV2GNIzUjZUOnkwdnz6p65Onq1boiYVViP5ybgBcviiRO7IgA6HdiwxskPvjly5c0nK6z77DLADfPGS9Iwu2ycvFU+vXppRO03QLIU71gOWdAO1iehKEjIBzgh3zo4EEhchzedhyANnGvyUtoL0hqP82YJngEJviC9Qj21+vXi7x96ziwwkBfzad1jg1Z6pEyzdN1qx5qBsKyeggHGy+8nD5dpEQJUacfNwKWLV2spo+8G6FQDGiHwlMyNPqFA0iEuDkn/fwTBetypYrLtClT1E06ELkH/TKIuGoE0P67vxP5/HORVKkcB/FUAN4yZcLPffaZyN//vUOKJkgWm5UNG4Zft+7lk8zrYbFM4opsn9uFTgJRJYBiQDsBPEQzhKg5gAS1fesWZ3AiLAgG9uurS2d0o7hs3w7iWBNRj85PVwmQ9d13rsfkyQ479YEDXc9b9fr1E3n1SoR61jn3z/Pn/USgacbigAFtixPmM0FygBgf/Xr3VFMv1CBYh+zYvi1BjtUM6sPggAHtD+M5f5CjJCciIG3prAkG9SjM/fqDZIgZdILggAHtBPEYzSAsDmBxgXTdq3s3SZkkkQI2JmuY+HHNFN85gOPK2tWrfL6BYFsEwTIlbjlgQDtu+WtaDyAH/vzjD1V9kFQA6RrX8L69e2oM6wCSkWC6IjFB3hzZHEGcvIwKV/z8ubLLTzOmm8nRC69ie9mAdmw5aO4PCg48fvRIU0Xhag1g43SBeoSNRlOizwFsw3FawSTSl1ClxP6G7/lz55SXNvf36Pds7vDGAQPa3jhkrgc1B7AMAZxLFy+qAIO99cB+fQR3cVNizgGkbMuGnbRiGr41kuZIzZYvZ3YFbYB79k8zI6lpTvuDAwa0/cFF00a8cABpsGf3rpIyyecKGCWKFJJ9e/eEx3SOF6pCv1NioDAJAsDWgTu/pz0Bzk0aP85Zj/oF8uSK1Msz9LkT/yMwoB3/z8BQEE0OEBCIWNd4NQIS6K5xRbZHfItmk6a6jQOkQ0vy2ccuQJwrW2a5f/+erZbjKwCfNWM6l7pI6NOnTolQ15zwDwcMaPuHj6aVAHGADa9+vXs5pesKZUupeiRA3Sf4bkhFtn3rVs0WY23oknmedF6ErXUvVqovngkTKBPpvDmzhTCppsQNBwxoxw1fTatxwIFtW7ZImbBleyr1ajS66zhgs7NJK+nusiWLneci+0IcakC7bq3qghWPKXHHAQPaccdb07KfOEBygj49ewhADTCULl5E9uzeZSxD/MTfyJoxoB0ZZ+L3vAHt+OW/6T0KDmCut2PbNilZpJCCNamiBg3oJ4Q1NSXuOWBAO+55HJMeDGjHhGsheA+bd8QbDpUDr0YS3mIZwsZWmRLF5MD+fSHI+dAl2YB2cD47A9rB+Vz8TtXI4cOkVrUqIXOQaQRVSLqUyWQAdtePjd21318KLw0a0PbCoHi6bEA7nhgf6G7btWmlIAgQhspRrlQJ2bN7t9FdB/plCevPgHY8Md5Ltwa0vTAooVw+d/aMmsbhPRgqBym/TIk/DhjQjj/eR9VzggdtNq3u378v7979HhUfguYauudHjx5Gms8uaAiNB0Jwl37w4IHxeAwQ7w1oB4jR0ewmXkCbzTBCOJJtOrJCHcCLz9iUls2aSOb0aeXokcOxaSZg965ZtVKyZ86g2VTsnR4/dkyOHD4ca37Y2wy178UK5Zf8uXLInTt3Qo30kKTXgHZwPrZ4AW1ehqIF8kmLJo0FjypP5ZcVy6Vw/rwyZ9ZPni77fI6M28RV3r8vNPLDzZo5Q3XOw4YMco6RTNK4CpMma/++D9eCImfWTJItY/pI3xknw8wXv3DAgLZf2Oj3RuIFtK2NMEy5unfp7HG5S1xe6o0YOiRWg04IoE2EteKFC0rWDOnk9KmTseJHKN9sQDuwT8+AdmD57Wtv8Qba6VMll6wZ0qoUfPHChQj0GtAOl7SJpPbm9Wt59eqVx0hrEZiXQE8Y0A7sgzWgHVh++9pbvIF2oXx5pEfXLuo40apZE2EDzl68gTZxlO/duyfXr1/T5TKA5qm4S9ovXryQG9evy927d6LUDwOUtHn79i25fu2asAlGn+4Frz3yDhImlMI47ty5rfcQ09lTOEurjTdv3mgWcOh58uSJnvakHuECdD97+tS61flJ+/R95/ZtuXb1qup7X79+7bzu/oUxkDCAPlG74CJOpDYOT1Hy7PUddD72aIJHPcZgPQf+hy96jxcbayf916D/tkRGf1SgTX/Pnj2TGzeuy80bN3Q87mM3/0ePAwa0o8evQNWOV9Bmqc/GEl5vW7dsdhlzVKB95fJl+b7D15I7exZJmyKpZEqbSmpWrSzr1651aYN/LNDetnWL/DRzulQoXVKQ8nNmySRtW7eUixfOR7gH4F2+bKney2qAPgrmzaXxL9x18IBS4Xx5ZNjggXL+3Fn58ovWkj1TBkmTPKmwcbZwwfwI7XPi/Llz0qxxA1V5pEuVXNUfjHnyxAkRdNrUr1+nllQuX0ZB1mrw6ZMnMnXyJKlUvozqetF5s4nZpGF9jStt1bM+Hz9+LP379JLC+fMIfWbJkFZKFCmosZOJn9y0YX2XOMhMAt26dNL68IyDMfXv01sB32qXT8J2Vq1YTrr82FGvde30gxTKl1v7KVaogGY/cQdjNprHjh6lfM4WprPPlim91K5eVY4cPmRvXr9HBtpMaGNHjdSYJOlTp5AMqVNIuVLFZfrUyc7JNEJj5oRXDhjQ9sqieKkQr6D99OlTGTNqhErbNapUcjFziwy0UaXgLZf0s4/li5YtZNqUydKzW1fJnD6NpE6eRDb8ut6FkYB2ss8/lQplSglZTQCEb9p/KWVLFFNwrFCmpDx8+NDlnqmTJupEkjdnNhk+dLCMGj5M6tSopvWZHB4+eOCszwSC7r1a5QqSL1d2AVg6fN1eGtatLSkSfy5JP/9ENm3Y4KzPF6wfCubNrfeRFuvH77+VSuVKS7LPP3Get29Eck/ubFkUjOwxjceNGaV8qFqxvHTr3EmGDhoofIeePNmziF3t9PbNG/mq7RfK64Z168jE8ePUTTxTutRaH/4TXhPpn3L1ymUNs5nk079JtcoVpXvXzvLj99/pBjJ7EZXKlVFTSq0sIrdu3RQAt1jB/FKicEGdSNu2aiFNGtSTZIk+Vd7PnTPLqq6fwwYP0jFDM89wUP9+UqdmdaUxV9bMKnXbb/AE2tDbpkVzUTorlZfxY8fIgL69hWS+0MkkYlKO2bno+3cD2r7zKpA14x20Xzx/LoAjILx86RLn2D2BNuZ/bVo2V5CZOX2qU6WCimDLpk1CQCEkx1dhqgoaA7QBsQypU8qqX35RUKL+3bt3FXj4Yf80Y5qz3zOnTkmGNCklT/ascvXqFed5dMrfft1egWDyhPHO8xZo0w7AhyqFAq29u3fTvps3aeSszxcACppat2imkrOqOF6+lNEjhyu4cc0X0N644VfZu2e3UyVB26g42rRopu3bLW+OHTmibVcuX1Zevnyh9KBS+Hn2LAW84UOGuKh/GtSppW307dXT2T50Mj54yniHDg7Xu1ugDe1I4+fOntX2WLVMmuDIbFKxbGkXSZ5EBps3bnBRh0B/8yYNte8Vy5a68M0TaC9etFDpb9KgvqpHuAE6b968qXTwXoWKuafLYIPgHwPaQfAQPJAQ76ANTYDSJrznAAAgAElEQVQ1IADg4jxB8QTaqCIAZiRtpHR74YeK9Ieq5eCB/c5LAAxS2Lyf57jol6kPYAEyDevVcdbv07O7nhs3epTznPXl1MmTeq1B3dpOfbgF2gXy5IyQl/D0qVNh9Ba0mlCpD7VEyqSJXOikAhJh7x4OoPcFtJ2Nun2ZHWY2SCouqyxeuEBpd08bdeH8eVV7oH6xytEjR5SPTFzouu0Fvi1dvEjbApytYoE2/EdKt5e7d26ruih/7hzy4P59+yWP36dOnqjtu/PAE2jzzHknSDNmL9A5cbwj2ezI4UPtl8x3HzlgQNtHRgW4WlCANhtR1SpVUHAlqzMSoCfQXr1ypf6Yy5UuIevWrpH169a6HEiRSFabNvzqZCOgHZmdNhJY6mRJJG+ObM769WrX1D5Gjxju0jZ9kYYJFUbZUsWFFQLFAm2CMVmqBasxJiACHpGqybp25cplVRewumAT0L1EthHpST3CvYDTixfP5eqVK3Lm9ClNwzVqxHAdQ5dOPzib37p5s55DjQJ/rUKGkeSJPhX7amDJooVat2mjBlY1l0+APnO61HqftXlpgXbOLBld6vIPG4SojjKmTaUbx+4V4CX0nzp5Qvbt3atqEibT3j27u1R1B20mOVRerKKYgN3fB+6nnR++6+DSjvnHNw4Y0PaNT4GuFRSgzaC3b9umIJAjS0a5efOGR9Am5RE/QiRnpCtPBxtRe3fvdvIxKtAGJNKlTC7cQwEEAH76QGL01D7nGtev59zgigq0ATQABbCxrEtOHD+meu4i+fN61LVGB7TRU48fO1o3EjOnS6P8g3brsIM2liLFCxVQXfP8n+fI5UuXZO/uXUK6LuqvWL7MyTNUT5zr2OEb5zn7F6x28uTIqqsjKwVVVKD9228vpVSxIhFAG55Mnjhe9xeYBHiuFu18egNtQhRwD6u0yJ4V5wf07WMn33z3kQMGtH1kVICrBQ1o49KO6R8/Vn5kM6dP0+925xrSHnG9ScN6Kpkhnbkf6Fzt5oNRgfbJE8cVtNFhU5BAqU8fC+bNjdC21Zc9TGh0QfvypYsqaWON4m5NAQ3RAW1UOQAWKbiY0HB1xxpm6pRJOgY7aKPDx5oDCxM2ZgF5vrMy6dGti0tIgVkzHY5N7B94KphZYqVC31ZCguiCNs+oe5dOCrpsEq9a+Yuqi6B//LgxSr+voI3lCR6v1vNx/7TvcXgajznnmQMGtD3zJb7PBg1owwg2yzKmSaVgMrBfX/3h2kGb2BsAatVK5Z2bY94YCAhjxUF6KvfCRheSGhuIVunQvp32MfunmdapKD+jC9roiNFn45Z+7dpVl7ZRdUwa79i0c9fnuqtHMHPD1BGrGUDUXgBA+GQHbfjIOVY0W7dsUusRJggsTNytK35dt07BHMsauyrF6kPVSslRK2V17hNEF7SR1jGnxDzv+vXrVtP6uSRMZ+4NtOFXxjQpVQXFBGyKfzlgQNu//PRXa0EF2oAHbu2ACz9GPu2gjYML4AUIs/HEj9Ze+N9derUk5+pVKrrYFlMPczT6GDVimLOZubNnqwTpboJoVcAqxC7JRxe0aad6pQraB9KxNQY+Dx08KOiEockbaN++fVvtx5F4Lccc2kZ3jukcbdhBG7tppGomI5xP7t27q6aLTCK/uwXuwgSSCQHVAum+7OXd77+rjpj2MRG0SnRBGxUY+uiiBfMJ9uZWgX4kcNr3Btrc075tG63LmN0nH65j9WPx2OrDfPrGAQPavvEp0LWCCrQZPICCXpsfLYcdtJH6sH5gMxAHEawY0EvrBtzOHTKof18h2L+9ANrUxzGElFVrVq+UA/v2Sf++vfU88TzsDjMAFk4siT/9m7Ru0VRN6jBfQxdNECvaX7N6lbOLmIA2YI2EzzjZcMXaBXUQUjMOQ4CrN9Bm4sAhhrp9e/VQx56TJ08IK4Ukn32svLOD9o7t21S3Tn0ca3Jkzih5c2ZXh5RG9erIujWrXUBvyMAB2gYWHz/PmaWqF9r4qm0b5Rs6eYDfKtEFbdQq5UoWVz7wjM+dOytIy11+6Kj7CahefAFtLF3SpkymqzNMKY8dPaLmhocOHtBgYwAPE4Qp0eeAAe3o8ywQd/wlEJ249wEY48bubrZn1WMjjB8t9fD4sxd+7DjkIAlyPU3yJLo8pj7g3OXHcIsJ7gO0ASjMCgF6wJKDe9lM27RxQwQVwI3r15zONFhWsJmI/pd7aMMufcYEtJEme3XvqhuH0AKQcnzTvp3qdpFwvYE2YyOZAZYpjJ2VCbxgrJi6Qa8dtNGlEzWR60xYfXr1kM4/dlRzx/SpUihQLpw/z8lqNg/xfMT6hfahCVr5zirkzOnTzrp88QW0mZRwM6cg/eIFi5MR7UJ/2hTJdNIaM3KE9ucLaDORYwFTpEBefT7QicoFKR6e4rxkd4ZyIdr8EyUHDGhHyZ54uxgvoL1j+3b9wXrSl8IJlrkH9u8X6mEu5l64Dkgg+U4YN1adN9avW6NSunuM7uPHjsrGX3/VNjHBw0oCl2dAHJvhyJbOWDYcPHBAzfyoP2PaVEHSZKKx30M9JO/9e/e6nIdmxseksGH9+ggTA2oWJEscYHDWQU/MOdrDUejsmTMuw962ZYuaOdpVANCB7frSxYt1clswb56OCR7QhuUcxP/NGjdUW+m9e1zVSvSJlM2ExARnL0jzmPfNnztH3dBZDcATaHQvb9681me6b4+rvTT19Hnu2yeYHdpVMdDPM1m3Zo22z0bz/Xv31EEIs01c/e3lyKFDjmfpFqeGdlCd/bpurVqjjB09UhbOn6+u8GS/sT8ve3vme9QcMKAdNX/i62q8gHZ8DfZD7ZcYH6iB0B+TfMK9sEkLaGPuaIrhgMUBA9oWJ4Lr04B2cD2POKHm+fNn8v+3dx1+URxf/N9IftGIiKDYUFGxAKJi1xh77y2W2HvBWIm9G3sviTG22HvsMYpdEQkmiogo2Euieb/P9+Ese3vLCcjt3XFvPp/l9nZn37z5zvGd2Tdv5kVGhJOfT36aFj2ZYCrBHt2w5cNEUTuyGpsoMJKWJAgoBIS0FRLu9Smk7V7t4RRt/nv/ng4fOkhYao8RNWy+sOdjIrRgvv/x6kZ40BhNS05RRoR6DAJC2u7ZVELa7tkuua4V7OuJiYmETaYw0QvvkOlTowl7kmAxith9cx1yjxcopO2eTSik7Z7tIloJAi5HQEjb5U1gqoCQtiksclEQEASEtN3zNyCk7Z7tIloJAi5HQEjb5U1gqoCQtiksclEQEASEtN3zNyCk7Z7tIloJAi5HQEjb5U1gqoCQtiksclEQEASEtN3zNyCk7Z7tIloJAi5HQEjb5U1gqoCQtiksclEQEASEtN3zNyCk7Z7tIloJAi5HQEjb5U1gqoCQtiksctGZCGD1JVZoGnd5RGDe0SOH2+3u50xdIFvp48xVoampqTRjajQHnXZmObmJlZB2bqKZe7KEtHMPyzwlCdveIvSZo+PihQs5qjPieLZv3ZKGDxlEr15lbPM6eEA/3hsFW7RamRDerHHD+rRt6xanFXvi+G9cN0S4f2fYWtZphX6iYCHtTwTQSY8LaTsJWE8XG1I2iEkGG0xldiDUV07S3j27WSZiTCYl3ddEuIq0u3bqwPoMGzxQ0yW3T4S0cxtR75UnpO29be+w5lcuX+YI54hyrj9+O3aUw5yByBfMm+tQRmY3EbBg0fx5hMDK+nibriLtc7+fJUTLcWZwYCHtzH4Ncj27CAhpZxcxL88PokUYL4RdQ3CF3EyuIu3crENmsoS0M0NGrmcXASHt7CLmxfmTHzyg8qVLUUAhHw5nZpxQQ+zLndu308TvxtHIoUNo0YJ5HDZNHyIN8P377z8cFf7XnTtstoR1RNr2suezbONkJsKnrVi6hBBWDeUi6PPkCd9xBPmVy5cSAjcb9f4zPp6W/LCIgyPrm3fd2tW0Z/cuwn7kCO6MAMSoF+z8ycnJdnLwLGTjLWXurBk0ZOAAWr50MYd9c0Ta0PPypUssf+iggTRx/DjCpOzrV680ddJSU2n50iWEoNDv3v2rXcdJWloaB4bGPITxnk3GbH4Rm3Y2AbMou5C2RUB7ejHv372jQf2+Zdvv0IEDOJ6lvk7Yk7t5k0Yc+Ld8mVIcZKGony8h2PKsGdNszCAqGHLdmjUIZKxSZqR9Oy6OgwljhG+UjXiQehOLkt2/b2+a9v0UDp6M6PMqMHP18FCOq6nKxCfywdyDgMj65JPvcw7BtmLZUg6ajMDJSk5oSDkmWn1+nK9dvYrzqGDF/r4FOPjyuLGjuAzjROTr169pfNRYjhxUPMCPKlcIptIlAqnAF59Ry6aNKfVxeni4x48fU81qVRlPxOxUCZOaQwcN4OcXzp9r55Gj8uXkU0g7J6g5/xkhbedjnCdKQHBkEFF45RC6fz9j8hCVQ7DjJl814PuI8o4ROVzcTp8+xRHgA3x9OPiCAkIRa1ZIWy8bEeqVbAR9hi4Y9SOwg0pKdoki/lTM349mz5xO165e4cj1DerUYuIcO2qEys6fjkgb0d1B1mNHjaSYCxfo/B/nqFO7Niyna8f2PJpXwjBa5vyFfTlgM0bnp06eoC4d2nF+dAxG0kZgauD6Vb06dP3aVXr29CnFxd2iPt/04A5wxNDBSjyHhkPHFVapAt1PvMfXz5w+xZHnEd8TI+7cTELauYlm7skS0s49LPOsJBBwncjqbMveuX2bXT1h5wbx9Oza2WbUi4wq0nv3zh215xSxZoW0tzmQDdMFiLB7l052stFRwHVQb5o5sG8v16FG1VAtP04ckTZI8vspk2xCsV27epVDthUvUtjm+ugRw1ifqNGjbOQ/SUujrh3TPVT0pI3I81VCylNgYV+Kv33b5hmMsIsHFGZz1N2//+Z7eKPo2bULj8LHjRlNz58/p5rVwglvNKdPnrR5Hh0IJorVsXzJYlqzaqV24I0A+OiPfXt2k/5AXFHgmxUXzMMHD3Le1i2aEt7KJDkPASFt52GbJyTDRjs1egoTBUaYehJEBXF/yMD+/A+7ccM6/o5r6khOfsAjxojQyvTixQvGJKukDRnKZLJxw3pNplF2NRPZdSKr0SudTRgFo9wyJQKpZGCATds4Iu0KZYI4TJv+gSdP0jiyvc8Xn9GzZ8/41pvXrwmdAUju7OlT+ux8fuzoEb6nJ+3jx47xtTYtmzP5q3qpz9bNm7I55PSpDEJOSEig4KASPKKHCQg6YDRutO2vXrmCZUOfrB7oePWHek5I2645XXpBSNul8Lt/4ZhAw0gwqFhRwqIYY/rn7Vtq16oFEwNe20Fc+gPX8M8fWrECYcSJlFXShuy2rZp/VHaYiex6tWzt5Sj3wYMkqhhcmolJXw9HpF0xuAw9ePBAn53t8HhLQL1QFyU75INsjICNyWwiEvE5IQOBlvWYqfNi/oX4/tHDhzRxIOd1a1bzdTyL+piZReCm+V3UmPRj7BjuWNG5qgM+9j27ddGOzu3bUduWzW0OmGxwICj0x5KMtD+GUO7dF9LOPSzznKSnT5/yBCBGcwgGjBGgMb1984Zat2jGJIJRJGy/Zsf6NWu0UXpWSZtlN2/Ksrt17mAqF2WtX2sv22rSxhsFItxjpGoc4QMzM9Jet3oV1y2iSiWCnd0Mt+hJEykl5aEN7Dt3bOdyQNqw66empk9W2mSy+IuQtnWAC2lbh7VHlQSCnj9nNpNKq+ZNNdOGsRIwl3Tr3JHzbdm82Xjb9HtWSZtlf1itCLt5VpKSbTVpv3z5kkC+6OD+unPHTlUz0j6wfx/j1ql9G7u5ADsBHy7gbSEitBJ7mGDyF8Q9ZdKEzLJbdl1I2zKoSUjbOqw9qqS42FjCZF6Jov506WKMQ91nz5jO5IGJOKNt1exBRaxZmYjMkD08W7KtJm3U++sGdRkHmC/0CffmzJzB9/Q27evXrpFfgfxUqUJwpp2iXg460gnjolgO3ChjY29SqcAAwoTo2bOn9VktPxfStg5yIW3rsPaYkkAyndu3ZXKYEDWWXr18ya/8eO3XH5h8Q4I3BSb34O4G9zsscAHBQA78sC/GxFB8fIZ3RHZIWy/70EFz2X+ayLaatIHD4kULeKQdWTWM7t29y6Nn+GHjOvzVMSrWkzaw6di2NV+fNH4cvXnzmjEDbvAUeZSSQkcPH9Z+N+fPnWOzCDx5sNgGGC9etJCfb9qoYZaIXxOWyydC2rkMqANxQtoOwPHWW/fu3ePJR7zqly4eSOWCSpoeNSPCGSKYMVatWM7PFPbJT80bN6KB/frSN927ah4VWEWoUnZIO0uyF9nLdgVpw5MEHh8g51KBRahDm1ZUJaQc+Rf8koYPHUxY5KMnbeBx9coVzoNnsDUA/LP79+nNcjAB3LBOLYYN/uq1qkfwYqH9+/YqKNl7pXaNakzm6fMO77V7Vp4IaVuHtpC2dVh7TEnwfujdsxuTLwg4swN+2SqBXM+eOcMjdKzcg0dH9fAq1Kp5E15+jUUxKmEE+VW92jRi6BAbP2csJcciESwY0Scz2SjDkewxI4drE59K1tMnTwj+4q2aNVGX+POnTRvZS2L3rzttrrds1oS+6daF8Jw+vX37lgb07UNfN6zHo2H9PfhejxoxjNChVa1ckSdy9+/dQ1jRCJfJKRMn2G3NmhAfz2aPujWr88Qi3CMb1q3F+GCBDhJs4sAGE5b6FaC4Bx9t4IkVq/qtbvV6OftcSNvZCGfIF9LOwELOcgEBLKt+9uwppTx8yK5oeNU3JrzWg/hAxvqEvDCtZJZY9tN02SgjO7KVTMg3kh70gD7GhHxGHVUeMznqHuoHzxvsc6KvD87NdMZzeOblixfcCcAbRL+8H/cz0xH3IBP6ZyZb6eXMTyFtZ6JrK1tI2xYP+SYICAI5QEBIOweg5fARIe0cAiePCQKCQAYCQtoZWDj7TEjb2QiLfEHACxAQ0raukYW0rcNaShIE8iwCQtrWNa2QtnVYS0mCQJ5FQEjbuqYV0rYOaylJEMizCAhpW9e0QtrWYS0lCQJ5FgEhbeuaVkjbOqylJEEgzyIgpG1d0wppW4e115eEIAi/nzlDWDXobQmLX65cvmS3N3dewUFI27qWFNK2DmuXlgTCvHrlMi+HRsxEVyRs+o99OLBznzul23G3eE/u27fjnKYWosMXLezLe4tgZWdeS0La1rWokLZ1WLukJIzw5s2eRWVLFedNhbAJFDbqr1A2iPcE+e8/+2XmzlJ0w7q1vJnS1CmTbYrAcnHsd2JcXm6TyYlfEGMSGzYN6v+t00ox20/baYW5QLCQtnWgC2lbh7VLSpoWPZkJCbERhw0eSD8smM+f5cuUohpVw3iLT6sUy4y0t2/dSmGVQmjThvVWqWJTzsL58ygyIowQV9FZSUjbWch6n1wh7Tzc5tiwqEyJYlSkkA8dP3ZUqyk2J8J+z4iUjjiMVqXMSBvbumKki439XZWcPcoX0nZVy+a9coW0816bajW6cf06FfUryHthZ2UHONi9E+/d03aLw/fLly5yEIOnT223J9UK+bAD3e24OELUcASURUgss2Qkbexch21a530IazZ54nhKTk7m4/nz9CjnejkIKHDl0iUu48/4eNMd+NAhPUhK0gICYGc92PJPnThO9xMT9eK0c+S5cyfBbltTBPRNTU3V8t2+dYvLTkhID+ar3TCcAGvsGX7m1Em6k5DAeH6MtKH333/d4W1pL8XEEMKX6RN0TExMpKT79/WX+RzlYXJXr6tdJidfEPOIkwHWiRfS1oGR104TEhIIEb2L+vnS+T/OfbR6mCBEeLG4uFsc8btMyWLkX7AATx6WLhFIW7f8bBPcF0Szfs1qqlktnIr4FSQEQMCB6OK9e3SntLQMwkPhRtLG/tsIDIDJSYy0C/t8yfpC5+nfR2v6wi6/fOkSCioeyNFxkB+dEcKVQVd9QnxGPI8guWfPnOY9qBFRx69APq5b1OiRhIDB+vTDwvkcwGHN6pX6yxzGq33rlkzArVs0pSKF0utYPMCPhgwcoHUM+ocQsR77j0M/lAnse3XvSiryujEIAjBE29SvXZN1QN38fQsQsMc+36qz/euvO1S+dCkKDipBV3UTyXh+y+afqJi/Hw0fMojevXPNJKeQtv5X4NxzIW3n4utS6RidgXRAiIgUvmfXLg5plZlSmCBEXjwDouvSoR0tW/IDIdgByBhEdPy3Y9rjT9LSyDf//5i0Z0z9nn75eTPbzEHikDM+aqxGOnjISNoY+YJEVYDa2jUiaMTQwXwcO3qEy8FoHHqhHERo+XHTBvp15w4aOWwI6xhUvCjdvfu3ppOKigN7faliRahOZDWOz4iAC4H+hVgvo+182vdT+DrIW5988n3OuIEoq1QoRzOnTSUEV0CZZvVDoAMEf8Bkb7tWLWjB3DmcH6HYQN54xkja6FgQoQbH3FkzOVzbwvlzeaIYdUakeZVU+yCYgor4DgzRoWKi+fq1qyqr5Z9C2tZBLqRtHdYuKenPP+OpWlhlJgx4jbRp0YwO7NtHMDUYkyIFEMjO7du123BRGx81Jp10OrbXrmMEvHfPbnr58oV2DScXYy6wHR2RaxAMQCUjaavrjmzaMM+AbMMrh1CSzrwBG3T05ImsEz5VUqQN4hwysD+lPn7MtzBiXbp4EXvONPv6K5WdPx2RNogWnQpME0iQs/vXX8n3yy+ocoVgmyAH8+fOZsJu2bSxjXkj5sJ5JmEjab94/pwaf1WfED9ylyFqDkw66DgR/QahxpBgrqoWWpk7MIyukYYOGsB1MnY4fNPCP0La1oEtpG0d1i4pCa/PSfcTOUxVyaL+THIgiXatW1LcLVvTgiLtKZMm2IyQoTgC7GLkV6l8WY5I46gysK1GhFYilJeS8lDLmhPSnjl9GusMDw/URZ/ib9/mewj7pSLMKNIOrxRCjx6l6LNz9PKSRQOoXOmSNtcdkXbZksUoNjbWJv/Dh8kc1xGdIIhUJZhFQMyHDh5Ql/gTeu/Yvo3v6UfaiKYOYm5Uv45dpBo8+HWDetz5oRNEgpyD+/fxWw86MYzC8QaETsXYcfIDFv4R0rYObCFt67B2aUn//vMPXb92jWMRgihALojqnZSUMWmoSBvkakwYYWLEi4C1RrIHYd68cYOOHjlMO7ZtpbWrV1GFMkFMOMnJGbEhs0vaKBMxGqFr7x7daP6c2TbHtOh0swZMEmo0qkjbLLAvJvFCygZRQCEfm+o5Iu2KwWXsVjHiLQXYQS9MNCIhRBiC+GKEr4+HqQoym4hURF6jaij70hvrBxMPygCuKsHkNbh/Py4H9m/Yzf8497u67bJPIW3roBfStg5rtygJRBhz/jxVKleWCWHCd1HaCNYRaUN5TI7BffDC+fNcFzXyg49zus3blycBYV7BKBR5P4W0MWHYsllj1hMyMXI3OzB6BZkhOSJteLVUDC7NunHmD3+yS9qI34hJUBAqykOC1w1831FvYGxMZqS9ZuUKluFXIL9pvVDXsEoVyLiC9dzvv3PHg/Lr14o0LQ/zC3jbUAfmGerVirQ5GtSpRTDl6I+O7dpQt04dbI6+vXrSgG/72Bwjhw3ltzcEGsbRuX1brgsmbN8bYn8asZDvn4aAkPan4eeRT4NsVy5fxv9ksHHDNo30MdIGccK7BKNqJNhqQcxYuLNh3Rq6eeM6j0rhjhcZEf7JpA0fcjWRum/vHi7zY39cRdqI2B6KSch8n5vurWJG2pt/3MRt0KNrJ82887H6ocPo0aUTwcSFCVGYrMywWbdmNeOP9sGBThXP6A+Qfm4fQtofa8FPvy+k/ekYeqQERdrwRFALSxRpL164QBt9q8rdvHnjg007WDNFqMlJ+Ffr07Nnz9h8kN2RNka8+vTf+/c8igOxwBMjK8lVpI2Oj0ffX3zG+7sYdd229RcmSL1NG5tngXTrRlY3nRg2ykBnC7dLmES6dmxP237Zws/XiAiz899OefiQO1V0rDjgPw8/enWcOnmCjhw6ZHNgsRXMW/oDZaBD1h9wv1y8aIHNMXvmdJo+NZo2blhnOvI31kW+5xwBIe2cY+f2T8Jtbv/ePZrpQCn88sUL9l8GGWKCTyVF2mVLFud/bnUdpA4XO+Tv16eXukyjRwzja3NmZmwABWI5eeI4v+5nlbTxKg/ZvXp002SrE0zqFSqQjzsBo9838sAUoUwj+O4q0kbZ8A1HPWBKUB0hrmMuAXZ33NOTdlpaGm8l4Jv/Czp6OMNujWdU0q9Yhd0ccwUYYcO9D3MJXTq2Z7kTxkVlebSuZMunZyIgpO2Z7ZYlrWdOn8qjMvg3w+64bMlimjNrJts1QSCY6MLqQZUUaWORS6nAAHapw+QhFm3woo+CX9KF83+o7LTzg0cEfMC3b/2FLl2MYbMLyBrys0ra2LIUI04silkwdzatWbWSfb5REPyRMarEBF+j+nXp580/cacAt0VM3GFCEL7kKrmStLHoBf7YMEF826cXe4xMnjCesBincvlgxlBP2ujgVi1fxm0EvLGg6MjhQ3Ty+HHauH4tb2DVqlkTrhryDurXl3GdMnG8Npq9FXuTy4TpCqNoSXkfASHtPNzGjx89or7f9KCgYkXZpgkixUQZ3N66de5gQ9iAQZE2dgX8tldPXgEIsvTzyU+hFcvTgf37bNB68/o1RY0ZxXZuvLJDNlYtzp0zi/r37c22brjHqfTTpk0s02xr1kH9+/ECE8iA/XVqdMZOgFjEg8UxIDaQO+oBYgwsXIiqh4faeE/AmwOLgJo2amDnRodJ0ephlXmlo9IJn3NmzeAOZsWyJfrLnK96WCg9fJjhtogMsCvDzQ7lYAWkPh05dJBdCqEf9MR2rLBBYx4AnRveJvRbs2JEvn3bVo3UVRvBwyekbGnumCAf5g20W8M6teiZzvcdZA7TEXTp2LZ1lswsen3l3PMQENL2vDbLlsb4p4bXxOmTJ3kl4f59ewlLvc2SIm2MrmGjvRgTw5tKwdyR2VFQnD8AAAItSURBVN4jME9g347fjh4lyFaLULBSD77dejMBzAGQaRYEAUSIkSpkwN76+tUrOxVBkIcPHeR6YEQKswPqp0/QGyN3TIYaE8wJt2JjecJUfw/2X/hCQz99wsQq9lQxS5CPcoyeIox3UhK76e3auYP3PUEe4IC9YLBRl1lKSUnhfUewyAYmrT/OnbPxvcYeLdARe7MYk9ojJvbmDTGRGMHJg9+FtPNgo+a0SnrSzqkMeU4QEASci4CQtnPx9SjpQtoe1VyirJciIKTtpQ1vVm21wnDj+nVmt+WaICAIuAECQtpu0AjuogLsvT9u3EBJSfZ7NruLjqKHIODtCAhpe/svQOovCAgCHoWAkLZHNZcoKwgIAt6OgJC2t/8CpP6CgCDgUQgIaXtUc4mygoAg4O0ICGl7+y9A6i8ICAIehYCQtkc1lygrCAgC3o6AkLa3/wKk/oKAIOBRCAhpe1RzibKCgCDg7QgIaXv7L0DqLwgIAh6FgJC2RzWXKCsICALejoCQtrf/AqT+goAg4FEICGl7VHOJsoKAIODtCAhpe/svQOovCAgCHoWAkLZHNZcoKwgIAt6OgJC2t/8CpP6CgCDgUQgIaXtUc4mygoAg4O0ICGl7+y9A6i8ICAIehYCQtkc1lygrCAgC3o6AkLa3/wKk/oKAIOBRCAhpe1RzibKCgCDg7QgIaXv7L0DqLwgIAh6FgJC2RzWXKCsICALejoCQtrf/AqT+goAg4FEI/B+Xctx7ZGiSlgAAAABJRU5ErkJggg==[/img]
Zwei Matrizen A=[math]a_{mn}[/math] und B = [math]b_{mn}[/math] heißen [b]identisch[/b], wenn sie gleich viele Zeilen und gleich viele Spalten aufweisen und wenn sie in allen Elementen [math]a_{mn}=b_{mn}[/math] übereinstimmen.[br][br]Man bezeichnet ([math]a_{i1},a_{i2},...,a_{in}[/math]) als i-ten [b]Zeilen- [/b]([math]a_{1j},a_{2j},...,a_{mj}[/math]) als j-ten [b]Spaltenvektor [/b]von A. [br]