[img]https://mategnu.de/bilder/banner/App.png[/img]
Sie haben das Gauß-Verfahren zur Lösung eines linearen Gleichungssystems kennengelernt. [br]In jeder Zeile notieren Sie die Gleichungen mit Variablen, Rechen- und Gleichheitszeichen, obwohl diese sich nicht ändern. [br]In der [i]erweiterte Koeffizientenmatrix[/i] genannten Kurzschreibweise lässt man diese deshalb einfach weg und notiert die übrig gebliebenen Koeffizienten, ähnlich wie bei Vektoren, in Klammern:[br][img]data:image/png;base64,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[/img]
[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQYAAALjCAYAAADwVKuQAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEmVSURBVHhe7d3/axXXvj/+8fO72kR/EpGD0R/EHiwao4gKCsd4YzkoFaJtKYLlbaMXwdYajZbLwag33kMLpdV4UZCDGr0qHgrxKyg0KpqoRFRaMBGRtj9F45c/IJ95vpxXOs6avffsrzNrz/MBw9qZZCezd2aee601M2uNGXE5REQ+/59XEhGNYjAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBweBZvny5M2bMmNHl+vXr3neie/LkibNz505n7ty5o78Hj8+fP+/9RDLpdk+bNm10u9esWVPQe0Bv4b3DPrV//35vjWVwrwSNjAwNDY3U19fjvpGRrq4ub210/f398lz8jsHBQVnX09MzUlNTI+vxuJzw+wv5O7m2W9dRNHjvGhsb5b3D0tHR4X3HLqwxeCZMmOAMDw87dXV18mmZrzdv3kh5+PBhZ+rUqfJ44cKFzvbt2+XxzZs3pUwa3e5Tp06FbveZM2ekpNxQMzxx4oRz4MABp7u721trJwaD5/nz54776egsW7bMW5MfHExu0DqzZs3y1thBt1tDIWjKlCneI8qlqalJQgHv5bhx47y1dmIweG7fvi3l4sWLpSyVp0+fSulWL6VUJ0+edGpra2Xx90GgrY82/qFDh7w1lYeQ/N///V/HbV44f/vb37y1b9dv3LhxtO8EXyu0pbV/opJ9E/o3gwveV//2UX4YDJ4bN25I2dDQIKWfdkzmu8Pfv3/fOXjwoOO2M9+pSaCz7+eff3YeP34sO/C//vUvWY9Q+Otf/yqf4Bs2bJB1lYTtQmDNmzdPak4XL16UJpb65ptvZLu6urqcO3fuOFeuXPG+4zjbtm2TIKmpqXFmzJjhrS0v/X9ge/CeYcFjbMO1a9fe2fYgPDcYJtkW7AOp4r6Z5ELnGzrcwmhnUj4de+i0w+9raWnx1oTD9/G70eGZ62ezKbTzUaGTDM/HotudqeMRHbX4ueD24n2qZGdbZ2fnO9uA9xDb5bbvvTXx0f+HrZ2PDAaX7ujNzc3emuLoGY4oB7ruzPj5qPwHcZQln50T245tQjhgyRQOdXV172wznoefR5lN2PZlW6LS9xFlEjAYqgA+YfBPxCdQsfIJBdDThcX+7WJrDEF6oGV6HViP7yscAHEdBPoeJiUUwPZgYB+DS/sX5s+fL2Ux0BZFxxx6p6PYt2/faJs4SSZPniwl+h3CaJ8J+lHQyXf69GnpZ6g0/P0lS5Y4brDmdZqZfQzZMRhcly9flrLYU416lVswFHCGIWzHwvrZs2dLR59uQ6XpARLswX/9+rWUS5culTJo5syZUuI6iG+//db57rvv5OtK0lBAIGhnLV5PlINYT9NGXdARmyrui041rfKhzZypfRyl8xFtcfxMpgW/ww/VXq2moxmBn8Hvx/pCmhX6OrJtYxh9HrZP+xOwTjtjs/UZ4Hn4uba2Nm9N5aD5gO3zN3Ww/dieJFTf9X8atUmZNKkOhuDBHDx4VZRgwM7o/13BRXdWPRDR0akHnfZLYH2hB5n+3mzbGAZ/GzuxvkYsCEns0NlCAbQDMtfPlYN/e4NLnGclsF14X/zbg6+xHmFmC84rUSVQhV60aJHjBoNUk8sNTQ9U2XEJuG1Xe1JuDAYqCK6A/PDDD+UyYKo+7HykSHB2Qi+DRijg0nGGQvViMFAkvb29chk0mg8ff/xxQXegkj3YlCAiA2sMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRIdXB4J9vEYuO8qww9oD/+xg+rRgY5ASDneB3UXR43zCitr53WPAY0+nZREewDu5nYfL52bLAeAxpphOnhI3m6x+ktRSTmWCgV/yutL7teN2FjOCM0aCx6EC3Ohp0qf4v5Ybt9g9em+09yOdny4lNCc/WrVu9R3/CpKjDw8NOXV1d0SMW4RMAE9y6O7S3hqLC/wBzdeggt5hmXuexOHr0qJRJhZnMT5w4Idvf3d3trQ2Xz8+WW+qDoa+vTw587GxBqMK6n04yIUwx8Hv+/ve/O8eOHcs6AzOFcz/AMgZz2P8tSTAuJg50bOe4ceO8teHy+dlyS3Uw4IDFOIaZDvzbt29LiYFPi7Fp0yb5G7kGT8U0+Gg/T5s2bXRqOGyj9nVg5qVKwN/Rv4mBX/38/S5x+uGHH2RqP52Byk+3L7jU1tbK+0m5pToYch34OqdlQ0ODlH66s+WC6iGmn/vxxx+9NeHQkfbXv/7V6e/vl1rKlStXZP0nn3ziuO1M+dSs1PwNra2tzvHjx52WlhZp/vjnr8R6cNvBUlYSDmq8nwinly9fynyfwfdEO4i7urrkPcOCxwgR/Hy2Ghue6w+SXAu2o2q5b1xqaWdgphmC0MGFTq8weF6utw+dZP5OM9COpWx05iJ0iMbZuaazgAe3Aev8rykqPK/QzjT8PTxfF8zkFbYNmFXL35GMbcfPxzk7ldLXEOU9yOdnyyHVwZDtwMcZCd0BC4WDOzjlnD8YMu3ceqYkn+nq9PdGXcL+bpBO4effDhxg+FvZ6E4ddcn1+4KwDXpWItsBr6EQZ7j6MRgskOvA10/LQiaYhagHR9gBqhOiJmGuQ629KDwO2+Yo8JpKtaNraGH7wuC9w/eTEgpgUzCkto9B+xcwjXoY7V+YP3++lPnKNM26e2DJ9/Xr4DyTaEdjPki4deuWlHHC6VVMNgNog6PHvBJzY+aiZyPQHxOk0+O7AZvXaWb2MfwptcGgB/7MmTOlDEKHIVR6wlacwcA5eu0si9vs2bPlOgJob293du/eLY8rCQchOh399OyCBq3SUEAg6BkLHPBRDuJMYZ5puXjxovfM6pPKYMBOhd52GDt2rJR+2JFwGhPXN2Q6vaWfGvkaGBiQMuz34tTgypUrZQfF6U2EE34O6yt1qjJowYIFUuIS5M2bN8d2HQb+Nv4vgLMkCFDYtWuXlOAPBVwPAPjZLVu2OEuXLpWv4/To0SMpnz59KmU2+fxsWbjJlzpol+Kl6+KnbVddMnWMhT03F//f9beN0Y7EOn97Em1kdIxiibOdrO9H2CXj+Qq+xqjw+tEXhPcCvwMlvg72weB/he+HLXGelcB2Bfc5fI31Ya8h6s+WE+eupKzwKfz5559LtbnY2gJqWG4wONu2bfPWUFIxGCgjNGNwgZVepkvpkeorH8mEKzBxaTba5nrVJUMhfVhjoHegoxMds24b3tm7dy9DIaUYDERkYFOCiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAypCIbg6L/BgUHxtf/7OrYg5HpuVBjnAGMR6u/BNHSY4jzTmJJkB+wf/un58T/2z9xlLdx2nQY6+QgmKsGcEn65prvP9twoMD4hnq9zVOB36KQypRhLMReMF4iFSkvnftD/IcbHxPiMGJOykP0kSVIXDGEHPuAfiiVMrufmgoMyLADwO7GUG4OhPPCeBvcZ3VcKGfQ2SVLTx/DgwQMpwyaoRXUeE5dkmvU623OjwECqOpx5kLtjeY/IJmguXLp0ydhn/va3v0l5+vRpKW2VmmDAHA04CMOGKss163W25xbq0KFDUmISFz+ElPZ5+PszMFoz+iUwlXuloA8Efw+Lf14Lf78LfqZS8Lf07waXSm4H/Prrr1L+5S9/kVLpSNqYl8RmqQgGHGz4R2WqEWSb7j7bc/UAyadDEs/BuIr/8z//43R3dxtTqH377bcyACumV8MnEg5IfDphanoE2IsXL7yfLC90lo4fP15eO2ai0iADTIjT1tYmj3VCmkq4evWqTJnntt/R/pISX7vNtJxD0gc7mHMt+D9l8/DhQ++RyW1ieI/slYpg0BpBpunmUCOoqanJWpsoxVR12OEWLVokg63i771+/dr7zp/27Nkjf0urpP/3f/8nQYKwqOQsUDrFG94THHw6ZZ9CaOAAqOQ8lphD89SpU/I+aM0KMjXT/NCcQ5hEXZIwP2es3Deh6mEad7zUsJl80HuM72Wa9TrbcwuF36VnKrJNdY+OLfxMPrMo4efzWaLQMyj+nnacock16zU654J/L9sSdRZtbAf+Phb/NlUSOhexzWGdjPq6bZaKYMAOhFNIYXJNd5/tucXSAx+nucIgPErxt7GjYimU9rTrgYuymN9XLLwvcYYCYH/JFAz4n9keDFXflIjavxA23X2u5xYLnYnwxx9/SOmHvgVU39G+93f8xWHGjBlS6kSr6DCNUn0vBzSr8D/Jd8q8Uvcx6Czp9+7dk9IP/zM3OL2v7FT1waB9BJjOPYy2ncP6EHI9NyrslJjdKQjBA8H2LNZjvsiffvpJvr5165aUcdH35tWrVzIdPWaOjmMiGoQCOkXPnj07Ggp4b3MdxFDqPgZ8H/1Ewb4Xna5/3bp1UlrLfROqmrb3wpoKeuUaqvRh1dJszwV9fq5qtf4evUAKfytTGxXfw89rnwaqpfga61GFLqT6jOfn2sZc8Hy8T8X+nkKhnwPvhb+vR6vzcdEmFrYN/xc0CbXvw3ZVHQzaaaaLv3NLp3fXJbjDZ3uuihoM+Dn8Pu1T0OcEOxWxDju/f73ufHhuoR2g+L25tjGXsAOzUvR9DlviPgjxv9L/K94fDQnbcYq6FNDTeqhOFwqnL1euXGlcd0HVicFAOaFdj8vCcY0FpQODgULhjAk6X8+cOSNnReI6C0HxSM29EhQdLsHGTWXz5s2TrxkK6cMaAxEZWGMgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBord9evXneXLlzv79+/31tjp+fPn8hpqa2u9NfZiMFBsNBAWLVrkXLp0yVtrHw2E6dOnO62trc7w8LD3HXsxGCgW58+fd06cOOEcOHDA6e7u9tbaadOmTc6UKVOcFy9eOPX19d5auzEYKBZNTU0SClOnTnXGjRvnrbXTyZMnnTVr1sjjCRMmSGk7BgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUCxe/TokZRPnz6V0la4AnJgYEAeP3nyREpbjRlxeY+JKgqXQ+NAGhwc9NY4Tl1dnTNt2jSno6PDmTVrlrc22XCB09GjR43LuhsbG505c+Y4e/bs8dbYI7XBgEtyV6xYITvgtm3bvLVEBKltSjx8+FDK999/X0oi+lNVBwPu3hszZszogqqrunr1qlRbcc2+zdCW3blzpzN37tzR14nHqBERFQxNiWrW1dWFptJIfX39yNDQkLdWmk8jbjPC+ype2I5C/hX9/f2jr81tp8u6np6ekZqaGlmPx0SFSE1T4quvvhq98+3+/ftSrl69WkpbvXnzRsrDhw/LXYqwcOFCZ/v27fL45s2bUhLlq+qD4cGDB1I2NDRICbdu3XKam5tHDyZbIQTccLem957sUfXBcPnyZelL8IfAq1evnM8++8z7Kn84PYXhu7D42/Jo66ONf+jQIW9NPPR6AJwuU6gloY8F27dx40Zv7Vu6HosN/NsbXNCvRCXwtkVRndCngJfY0tLircnOPZByts3Rlsfvw+92A2fErXnI+ra2NunPKEShfQxhtN8h2H+C14Ztxrbj+9onAfo+4WdsgG31/0/xmtGvEuX91/9x1CWt/TRVHQzd3d3yz+3s7PTWZBclGPz0IMMOGTV8wpQqGHCw4wDJti36ngQPonxed5wQAghkpaGAYKbSqepgwM6CHR47Tzn4z3hEVa5PLHzqYztyBRTCA7/XfyAhLHLVFrAdwW3LtmT7fWE/n2nJRkOhmFAuRtj2ZlpsU9XBgAMFO065YMfEPz1qjSSTYmsMUUNB4RPXf+DisW1VZm3KxRUK1a5qOx9xQ8udO3ecZcuWeWtKb9++fY4bPM61a9e8NfFAZxwuasLgqlG4IeL09vbKY3TWoWMWZzhsgf8tXjNeR9TXrLJ1XIYtae3MrNpguH37tpSzZ8+WstRw5gG/G8GDMx9x0UlaggcItg8HQRhst8590N7e7uzevVse20BDAX788UcpsS7qJC8XL15E1SzyYlNgllLVBsP3338v5fjx46WMQj9Ncn1K4HQlTv/h5qslS5bIQYbnYH0lT1XicmhMcIKaUfCT7osvvvB+yrRgwQIpUcvYvHmzNUOe+0MBBzi2G+u++eabd65ToeJVZTDgPL3eAosDpFTVQfweHHT//ve/Rz9lcfUkqrSYTQkXU23YsEHWV8KZM2e8R+GWLl3qPXrXpEmTpEQw2HSvyJEjRyQEsUycOFH+FygPHjwotzdTCbnVJYpZKa9jiAKdpuisRAdenHBWB9eBoIMYr1/PMMS9XfnCmR6c5cF7iteBBY9xtsdWDIaUwUGHsxD+C5zigEDAAaRndLBdCAWsy3XqNEn0zBSCQN9TnOHRsLPtbI9iMKQAPpnxiYYdFwddua7ryAe2Q68a9cPBhMUWen1H8D3VWmDwClRbVP29EuQ4P//8s7N3717HDQc5e5GEm67QeYjOWttV641sDIYUQBhg58WBmOQ7SnUAVdz5aruwG9lswsFgKTEwYzSuCXn8+LHVs0bjVPYHH3xg9XiirDFQIuCWdYQCriK1ORRQ68G1LS0tLVYPMswaA8UOTRxce4JQsLmtrhdg5XN5elKxxkCxYigkE2sMFBuMfvXpp59aHwqAQKiWUADWGCgW+IRFKBw7duydUMB6zERl012NhdzIlnSsMVAs0HzAPQ6Z9PT0WHFnIzobMaZoJjhdiWs2bMMaA8UiWyiALbc7F3ojW9KxxkBEBtYYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMlR9MOh8lJQdxly0aQwEKq/EBwMGwdCJWrHooBhK55PUJTgwBuawrIbhyEtFgzK4YN4Jyg/2PYxsre8hBpgJ7p/Wwm3XSadTl6EMg5mW8P3gfIw6S5Ct04SVA2aAwnsStlTifcLfsXV2Jj/MS6mvRfc5TLeHdZj1y3ZWNSW2bt3qPQr31VdfvTP0+M2bN2V0HVsG/agUzHfg/u+Nhe9TdJs3b5bRmTBEvO5zmOkctVPUvnTyHFtZEQx9fX1ygGeaRQnTz0NDQ4OU6t69e87XX3/tfUVUGphQZnBwMHR0JswpAb29vVLaKvHBgMFB79y54yxbtsxbY8JEJWHB8fLlS2f16tXeV5QP7PzaH4HxGf38/RSVpH8zuNTW1sp+Uilv3rzxHplmzpwp5bNnz6S0VeKD4fbt21IuXrxYyqBswYFBOMNmNdIOzarpKMrT1atXZahzPbDQgYYg8GttbXWOHz8uMyphfEZ/1RjroZLzMuoZk66urtGmDx7X1NTknL0q2EGdawl2YAdNmjRJSp2f0u/169feI7slPhhu3Lgh5YwZM6QM0uCottmGy2XVqlXOe++955w6dUoOLozGjBoXqsD+g19D9cMPP5Sv/VVjPQh37dolZSU8evRIQgohBpioZu3atcbw82F0RuqoS65RnVEzRSgiMDFEPOADCtuEIfGrgvtGJBrONLifCt5XJvQA42X09/d7ayhf2sMedtbHbUsbPe34eZzdyEbPCEVdcv0+Pz0LhTIuOBOB9wv7JrbFbcrKGQrdH/Ee2SzRwYA3H29yc3Ozt8aUKzgoN32fMx2c2On938PjQk9t4u8Uc7oSHwD4HXGGQjbYV7F9/tPmNkp0U0KbCdrTGxSlY5KK54bvaFMC7XVUpeM4tYl+EOwLnZ2do02KKErdx5AJmmJooqHJk63PwwaJDgbtX9Ce3iANjtmzZ0tJ2ekBEjzHru/jnDlzpAzC+zs8PCyP29vbnd27d8vjStJQQCDgegHA64lyEJe6jyETtxkhnaFxvD+llthgQG1AZysaO3aslEHff/+9lOPHj5cyqrSflcBFOBoOOLhwsQ526C+//FLWBS1YsEBKnMnAz1b609AfCjo/JLZ/y5YtiZjpCZPzIqBQe811hsQWiQ2GefPmjX5KffDBB1L64dw67oOAL774QnZwyg5ndvCpBrjuA+G4bt06aYo9fvw44w6tp+cQDE1NTfK4knDqFPsCPii0uo/tx4H4/vvvez9VeQgnbAs+oHC2BzWvajk7xinqKCd8Yn/++ecZrwvJBw4kXJKNS4kpuRgMlBWadJ988olU4TNdkk7VJ/EXOFHl4UIdjM+AqjJCAZ/wDIV0YY2BDOi/QXte7xRkKKQPg4GIDGxKEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJHBumDQ8Rp1CY7b6P8eFr9cz40CA5dgkhH/TE54jDEMyG74v2Iqe/xPMe0dxqTA/zuVcNu1bTDRBzY92wQpmGsibBKabM+NAr8Xi86rgL+HuS3wOysx1wH+TjHzMlA4vKf+/6FOmJPPRDjVxOpgwEEZpMGQ6cDP9two/DuPquROhL/DYCgtTA6DsA/uM7qvFDq5js2s7GPINi3+r7/+KmWmSXBzTamfi/ueZZzshCMd2enKlSsyCnVwn9F5Oy9cuCBlmlgXDLlmn9JJahoaGqT0y/XcQv3www8yL4NOhKIwurK2Wf39GeiPQBs2n9mUioW/j7+JBdul/LM0FdLnUij/VPrBpdJTATx48EDKyZMnS6nGjRsn5d27d6VME+uCQWdNylQjwMzNmWoE2Z6rHZNRDw6EjE408vLlS5loJDinwL59++RvYuzE//7v/5Z1eM7PP//svHjxomIdlvg7mJQHoYhPRp2hGTBLk841oRPLVALmBHGr6qOzP/X390u4us20nNPfBYMk15JLpgM/jmn4ksK6YMg2Lb7WCDDXYphcU+pHhU+0iRMnOitWrJAdHNPKv3nzxvvun3BAYh6GlStXjh6QmJyk0lOY6bRuCEu8NwhPP4RGY2NjxQ4E1FgQ3jqrlM40haCIUovSMIm6UAHcN84q2Wa31uncOzs7vTXvyvbcQuFv6lmJTFOf+8+URO301A7NqEvUjk/tUPPPxoztz9XBFvx7uZaocOYI70uw46+S8N5hm8PeA6yvRKdy0lhVY4javzB//nwp/crVv4Ap2zDDMWBexzD4pEY1GX87agdlpolYAfM8BNdHnYhVm1G//PKLlKj9oFaTq7YQ/Hu5lijwP/noo4/emZMyDqjxhfH3xaSNVcGgfQSZpsVHFRkHYNj8gbmeWww92N3agJRB2qYPVuHjoM2oR48eSYnZq+M4KBEK6J9B0ybfvx/Wj5BtyUVnS9f3RGnzMAkT51aaVcGQbVp8rRGEnY2AbM/NB3Y0dCD64W8D2ulB+NQ5d+6cdESinyHuTyENzVevXsnrwE4ftRZTKhoK8OOPP0qJdThjEkVYDSXbkov+39CB7KenKVevXi1lqrhvnBX0IhRsctgVjXrlWnNzs7fmT7meC/r8XBcP4Wfq6upG26PoM8DfxPpgGxV/C+1T/H081t+Px4W2qaNsYy7YJryGONrOeC/Qp4FF+zlQ4v2IY3uU9r1o/xT+l9hn2tra5Ou0sSYYsCPjH6eLH65E9H8veOBke66KGgz4WwgCDRqU+NofOBpE2Pn963Xn07AoRJRtzAXbge3zb1ul6PsctsR9EGLb9P+KfabY99lmnKLOMmjKuDtsUdPIo7MPp1AreYEV2YXBkDK4tgJX+u3Zs8dbQ2RiMKQALsvGWZkzZ85I52ecpwbJDtZd+Uj5efLkiZxGnTdvnnzNUKAoWGMgIgNrDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDBQYjx58sTZuHGjs3z5cm+NnZ4/f+7s37/fqa2t9dbYh8FAsdNAqKurcw4ePOittY8GwvTp053W1lZneHjY+459GAwUKxxMCIWPP/7YGRoa8tbaadOmTc6UKVOcFy9eOPX19d5aO40ZcXmPiWI3ZswYp7Gx0bl48aK3xk5oDl26dMmx9fBijYGIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYKDEuH//vpQDAwNS2goXbelrwFWdNmIwUOx27tzpzJ071/nggw/k68HBQbnPABcJnTx5UtbZANuKbZ44caK8BsBl3liH12iT1F/5iHTHP7IarrYjKpXU1xh++eUXKefMmSMlEaUoGHANvn9RN2/elHL9+vVS2go1n0OHDkm1VV/jtGnT5G4/onylJhi0zVdTU+P09/fLY7h69ao0I6ZOneqtic/169flgEaZL9zqu2PHDmfXrl1y4w5eL14rbv9lOFC+UteUWLNmjTNr1izvK8fp7e111q1b531lL9z7v2/fPmfhwoXyNYLuu+++k8cIP6J8pCYYfv31VykXL14sJejpMYSF7VBL2LBhg/cVUXFSEww3btyQsqGhQUp48+aN09LS4n2VP5yewmk1LOfPn/fWvj39hiYB2vxx+u2336RctWqVlKADo2D7cIoQXys0ObR/opDmTKX5tze4sPlUJJyuTIP6+vqRuro676vsOjo6cApXykzcNvyIGyojQ0ND8nubm5tlfVtb20hXV5c8zldPT4/8XZTF0u1qbGz01ryFbe7v75dtxN8Kbivep5qaGnl+0uG1YXt1W1Hia7zGXPBcvP6oSyn+JzZJRTBgh8E/Vw/eXKIEgx92RPw8DrIoO2UmpQwGHCD+gyZI35Pg9uKAifq644YAQ0CDhgIWKl4qgqG7u1sOgs7OTm9Naemnbz47pYZP1CWfgxUHe7ZQUKhR+LcZPx+lthC2fdmWTMJ+NtOSjT8Ucm17OYRtb6bFFqkIBlTv8U9BFboc8Hvx+4sNnlLUGKKGAmhNRyF8bKkt+KEmGFcoVKtUdD5evnxZzun7T1OWEk4T4vdfu3bNWxMPdHr29fXJpd0TJkzw1mam7wfOzqAT8vTp0862bdtknS3QkXrnzp3Ir1n5LwSLstjQGVtKVR8M2OGx4/jPRpQSzjzMnj3bWbZsmQRQXLDjYk6GU6dOvXOA4KDHjh1m5syZUuLszLfffjt63YMtEAo4M3T27NnR14wDPspBjCBxPxgjL3p9SFpUfTAcOXJEyvfee0/KKPQ0WK5TXtgpceDhU3bJkiVykRF2Sqyv9KlKXKSFv4+7+fyfdHrHYhjd2bds2SKlTTu/hgJqaVrzwXuOIdvTdhCXhZuGVUs7BXWJ2n7WjsFMP699AWjbartWO8CwHn0ahSi0j0Gfl2kJnrL00w5Im9rn2V4vXgsVr6qDwTaFBkOhNMzK1SkbFV4vOkIRUnqAI3Tj3q584dQpPhT0A0KDCmfFbMNgSDEcjHHvtDiTgwMI26K1Fl1ny4VWoGemEAR6bQUCD68B6ysV9qWSmkui6e0wY3oZNNrouG+kqanJ+248Xr16Jf0iu3fvHu1AxD0fbvNH+kx0vIykQwcuHD58ePROXfR1bN++XR7r7f22YDCkCO4kxRka9NxjEtkk3DyGjluMj5jPqcYkQgi4H7RlOyVeaZzUlhIJg8xg1mgsNkPNDKeR3aaGVaHBGgMlDk47YqCZn376yVtjJ5zKRih0dHRYV5NgjYESBbevr1ixwunq6rJ6nAz059TX18trOHDggLfWHgwGSgx8wuJCMRxINocCOnfRj4OOXhtDAdiUoERgKCQLawwUO6122x4KgECwPRSANQaKHXruW1pajFDA1zYN0abbGgwFdKaiFmET1hgoVrgRau3atd5XJvTo23ArOGo9uFArE1ywZdNMZ6wxUKyOHj3qPQq3YMEC71GynTlzxnsUbunSpd4jO7DGQEQG1hiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBkoEDHCC25Zra2u9NfbB9IS4VVynB8SAtjbdNu7HYKBYaSBMnz7daW1tlbkkbISxKhctWiQTHA8NDclQ8l9//bW8JsxCbhveXUmxwifsypUrpcTIR5j3wsZdErUDLMExF/C6MAM5Rr3WiWhswBoDxQoDteDgAVsnncF4lTjww8ZcwDiWgMl+bMJgICqSTk8XZubMmVI+e/ZMSlswGIiKNGnSJCmfPn0qpd/r16+9R3ZhMBAVCX0HGNMRs05h4FdApyqaSZ9++ql8bRsGA1EJHD9+XEa63rFjh5yqnDdvnjQfsA7ef/99KW3BsxKUGBhi/dKlS1aelchEz0rgFKZNnausMRCVCYaURyig1mDbGRcGA1GZtLW1OTU1Nc7u3bu9NfZgMFAioLNuYGBAHuOT1ma4ChLNIlysde3aNSuvz2AwUKzQc4+DaOLEiXKREGBGJ6yz7VJiBBo6Hr///ntn1apVzu3bt51Zs2Z537VLVXU+IqlXrFhhzbRmRElVVTWGhw8fSuk/NYQ73pDitt7lRhSHxAUDDmC9bTXsgNYDXRf/LMJXr16VamhTU5O3xnFu3rwpJS5AIaKI0JRImpaWFjRvpAzT1dUl36+vrx8ZGhry1kqTaMRtRnhfveUGgixEFF2imxJbt271HoX76quvRnt8cYcbrF69WkqFC2bWrVvnfUVEUSQyGPr6+qRJkOn+9QcPHkjZ0NAgJdy6dctpbm5+5zkIC5xH1tt6iSiaxAUDzmfj/O+yZcu8NabLly8bwfHq1Svns88+87566/fff3e2b9/ufUWAMzcYUAT9MzhV6BfWb5Nkur3BBcPDYT+iInhNisTo7u6WvgL0I4RBnwK+n6n/ISr8jgS+/LIaHBwccWtV8tgNVln89L0P9tMkUU9Pj7Gf4LFbQxzp7+/31oTT50Zd0thHlbgaw40bN6ScMWOGlEG4aARsvXAkTqhhaS0BzS5cUOS/ynDcuHHS9Fq/fr23JrkePXok9yBoMxGva+3atc6xY8dy7hsLFy6UG7WiLsHh2lLBfeGJgjMNSP1M2traJMVzfSpQdnpmB7UEhfc2V20Bn554XtQFn85hwn4205KLvpZMtcxyC25vtsUWidpSbSZodTdMruCgaNCswHutQYD3Hk0L/+lfG+ADAq8jrlCoVolqSmgzQQfQDIrSMUnRoFmBZsO9e/fk6yNHjjjt7e1W3fCDs07YVzo7O/M68xS8SC7XYktnbCklKhi0f0EH0AzS4MDY/VQ8nO59+fKl9DMgIGw6rauhgG3esGGDrMMBH+UgZh9DbokJBtQGMGYejB07Vsog3LUG48ePl7IY+mmQZhjuHBeAbdy40dm7d6+3Nvn8oXDgwAFZh3DbsmVL6BDuVAA3ERMB7Vtsji5Bepm0Lpk6taLK9HfSJO5Ou2zQEZrpf5ytA9TfmZoE6LOx8XQnx3xMMYxojE9f/dSNA6r+qLWEcYNBqv02QDMGU9SFcYPBuuZI4q5joMpAIJw7dy7WUKDkYjCkCPoScEk0Pt0w2SqGPE8CDKyDimtwsaW24Bf2OmzsvGQwpAjuMcEEKBcuXJBQsHEsQqoMBkOKYLDVFy9eOHv27GEoUFYMBoodRt7CFPh6ChmnIdEHYiM013B3J14H7mK1dUhBBgPFCqMpv/feezIxC9rjOBOBJg+uU7BpGHlMbIuzD4sXL5Za2dDQkFyhi74c20a7Bp6upMTR0b5x96TtZ01QE8Jl/LiTNdPAQ0nEGgMlDiaEBZtqDJnofT1//PGHlLZgMBCRgcFAsdG7HIM1A71Zbs6cOVLaAFdwouMxCP0lkGngoaRiMFDsMJqUhgPCYvPmzXJL+JdffinrbIGbAHGZOeCmQHQ6on8BF3DZdnqYwUCxwacoZoQGDO6L2gOG+ke7/PHjx1YdTAgzBNyOHTvkdWAuzrt37zrd3d1WTpfIsxJEZGCNgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGCgWOBuStx9iHERcdMRFoz1iLsrKX4MBqo4DPSKuykxVgEW/1iPmM2pGkZush2DgSruzZs3UmIAWB0HEZPLbN++XR6fOXNGSooPg4EqTqehzzQ46pQpU7xHFBeOx0CJgBGPMAgsRm7ClG6cECderDFQrNCfcPLkSQkFjNzEUEgGBgPFBrM0oRNy7dq1MkkLvHr1SkqKF5sSFDs0I65cuTI6yjIGULVpcpZqxBoDxQ5NB1zDgFmnhoeHnX/+85/edyguDAZKjMmTJ0vJ6xjix2CgitOJZtCE8Hv9+rWUS5culZLiw2Cg2HzyySfvTDTzX//1X3K6cv369bKO4sNgoIrDRDOdnZ3y2D/RDGaGtm2imWrFsxJEZKjKGgM+gTDJKBEVJpZg0M4nXYIHMb72fz94Ky4ujPF/H18r/dlVq1ZJSVRuOoFtbW2t7I+4lVwnt7UWmhJx6OrqQhNmpL6+fmRoaMhb+xa+xnp8Hz8XpqWlRb6P0q+jo2OkpqbG+J1E5dLY2Cj7XH9/v3yNfRD7JkpbxR4MmQ78uro6WTLRYBgcHPTWvIV/UjAsiMqlp6cndD/GvmvzB1RsfQwPHjyQsqGhQUo/VM3cA15uqsmkr69PerSDl8729vY6GzZs8L4iKq8TJ05IGdyPMSU+ruK8ffu2t8YusQUDRusJO7BB38zFixdLGYTgwPX0weDAOXGsmzVrlreG1Pnz50eHUcPdjH7aV2NLh61ub3BBGz940VS54QMKgvvx+PHjpXz48KGUtoklGDId2OrGjRtShtUmIFNw4J8T3OmDtOPS32FZ7RCY//rXv5yBgQEJ4127dnnfeau7u1tKG6441M5lt+oug71gwWNcGHXt2rWs10AEO71zLVGCEvtxmAULFniP7BRLMOiBnemTHbUJ/KMz3WGnwYELZSg3f2Ciiotmmv9+hHHjxllzxeGjR4+clpYWuekK8Lpw2/axY8dy1hR15KioC8aGSC33Dai4trY26bDRXlw/dNbge+4O7K0x4YwFOnaqHd6HfJYotNPXrSV4a97+P3L1oGtPe9Ql0+8L+9lMSy76WoIdf5WUaVu1U9LWMxOxBEO2Axs7LN7Qzs5Ob827ogQHZYazOP4dFu8netBt6z3HhwpeR5yhANiPsR1B2H/977NtKt6UiNq/MH/+fCmDtBmyZMkSKSk/aFag2XDv3j35+siRI057e7tV9ydg+Hn8/3G/hTYpoihHH4P2g2Gb/HQkKlv7GioeDHpgz549W8og9C9ApvaiBsfMmTOlpPxhZ3758qX0MyAg8jm44qahgG3W09I44KMcxOXoY9ArbG/duiWlOn36tHT04m9ayX0DKgoXIOHPhjUVtF2WqWqLdVp1C+ufiELbyrZW8UpB3wP8L4IXiCUZ/uf4//svYMP2o2ka1/8T+6Q2jbH/gjYj/P04tqloMOjVirroGwna9tUFO20QAsP/M4VgMCSj064Q+qEStsR5ECIc/Ps2gsLmUADedp1CuMEHVXKMsRgXNGPQv4Gmo14L4B5Qzj/+8Q+nqalJvqb4xHblI8UDgXDu3LlYQwHbgPY3QgHT1OGzya09yvUVK1asGL2IieLDYEgBDMuOS6JxwLW2tjrHjx/3vhMPnbvy8OHDoxex+eeuvHnzppQUHwZDCuCT+dNPP3UuXLggoRD3qUk9O8B7WpKLwZACuEcCMz3t2bMn0dcrPH36VMrGxkYpKT4MBkoE9DscPHjQ6ejoYE0iAXhWgmKHMxQ4I6GzUVH8GAwUK1wij6sWMXQ8QyE52JSg2DAUkos1BooNAoGhkEysMVAsdAStYCjgqswoN0RRebHGQBWHzkZc+ZgJTlemevSkBGCNgSruzJkz3qNwnO06fqwxEJGBNQYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4ES6fr1687y5cud/fv3e2vs9Pz5c3kNtbW13ho7MBgoUTQQFi1a5Fy6dMlbax8NhOnTpzutra3O8PCw9x07MBgoMc6fP++cOHHCOXDggNPd3e2ttdOmTZucKVOmOC9evHDq6+u9tfZgMFBiNDU1SShMnTrVGTdunLfWTidPnnTWrFkjjydMmCClTRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDJdKjR4+kfPr0qZS2whWQAwMD8vjJkydS2mDMiMt7TBQ7XA6NA2lwcNBb4zh1dXXOtGnTnI6ODmfWrFne2mTDBU5Hjx41LutubGx05syZ4+zZs8dbk0wMBiIysCnhM2bMGPnEIkq7VAUD7nbDwa+L/5Ze3NUHq1atktJmaMvu3LnTmTt37uhrxWPcpEQUCZoSadLS0oKmk5R+bvt1pKamZmRoaMhbE6+enh7ZTpT56O/vl+fV19ePuO10WYffgddWyO+jdEptU2Lr1q3eo7euXr0qd8PZeCec35s3b6Q8fPiw3KUICxcudLZv3y6Pb968KSVRNqkLhr6+Punl1oNG9fb2Ohs2bPC+shdCwA18a3rvKZlSFQw4p3znzh1n2bJl3pq30CbHumIOJpyewvBdWPxtebT10cY/dOiQtyYeej0ATpep+/fvS2crtm/jxo3e2rd0PRYbBPuP/Iu/L4kietuiSIfu7m5pZ3d1dXlrcnMPpJxtc7Tl0WeB/gm3NjLS3Nws69va2vL6W36F9jGE0X4H9KP44bVhm7XfRfskAOuxDj9jA2wn+lW0jwglvg72JYXR/3HUJQ39NKkKBhyo+MfiQIkqSjD46UGGQIiyU2ZSqmDAwY6Ox2zbkikwS/H3KwWvUYNNQwELFSZVwYAdBTtQOeHgwgGVz06JT3I8J+oS/OTPJOqnJg4o/F4Ep0JY5KotaHhFXbL9vrCfz7Rk4w8FrT1UUtj2ZlqSLDXBgJ0E/wyt5peLVts7Ozu9NYUptsYQNRQUmkD+AxePbakt+OH/G1coVJPUdD7evn1byiVLlkhZLvv27XPcWolz7do1b0080HmIi5owuGoU7sEkZ2YAF3vhrA3OcNgEHajoXL548WJep539Ha1RFr0YrpqlJhhu3Lgh5cyZM6UsB5x5mD17tpzhuHz5sre28rQXPhgK2L5Ml3xju3Xug/b2dmf37t3y2BYIBZwZOnv27Ggo4LVGOYgRJO6HZOTFtsAsiPtCqx6qlXrlXz4djxC189Hf2YhmhD4H6wtpVhTalND+gkxLpna+/j1Uw9G/YBO87/j/+v+3+j+gwqSixjBv3rzRT8MPPvhAylLBJxKql//+979HP2VXr14tVXPMpvTgwYOKXjh15swZ71G4pUuXeo/eNWnSJCnR/MD8DrbA+3/w4EH5/+J/q9X9L774wsqJXhLDCwhKmEJrDIXCp20SOu1Qw0IHotbwUKJGYFtnImpuOMuD9xSvA4tNtTEGA8lBhyaGXgcQFwQCDiBtemG7EApYl6kJlER6ZgpBoO8pAl7DrlJhXwwGQ0rhkxmfaNhxcdDl2/dSDtiOsNPJOJiw2EJre8H3VK9XiXodSpxSdxMVvfXzzz87e/fuddxwkLMXSbjpCmcHcGbBdtVwIxuDIaUQBth5cSAG7zRNEh1A1a1JSGmzsBvZkopjPlKiYYwMXBPy+PFjq8fKwJ2sOGviNiOcbdu2eWuTizUGSizcso5QwFWkNocCaj244ralpcWKUADWGCiR0MTB1YwIBZvb6hgDJN/L05OANQZKHIZC/FhjoETB6Feffvqp9aEACAQbQwFYY6DEwCcsQuHYsWPvhALWYyYqm+5qLORGtiRhjYESA80H3PeQSU9PjxV3NqKzEQMOZ4LTlbhmI8lYY6DEyBYKYMvtzoXeyJYkrDEQkYE1BiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBEgG3VuNW5draWm+NfXBbOMao1NmwcKu43n5tGwYDxUoDYfr06U5ra+voVIK2wQAzmJIQkwMPDQ3JCNxff/21vCaMXWkb3l1JscIn7MqVK6XEaEeYxt7GXRK1AyzBcRbwuk6dOuUMDg4mepj+INYYKFYY3xEHD9g6EjSGhseBHzbOAkaHht7eXiltwWAgKtKbN2+8R6aZM2dK+ezZMyltwWAgKtKkSZOk1Jmm/F6/fu09sguDgahI6DvAOI4Ymg6DvQI6VdFMwuC2NmIwEJXA8ePHZaapHTt2yKnKefPmSfMB6+D999+X0hY8K0GJgWHVL126ZOVZiUz0rAROYdrUucoaA1GZYBh5hAJqDbadcWEwEJVJW1ubU1NT4+zevdtbYw8GAyUCOusGBgbkMT5pbYarINEswsVats7UzWCgWKHnHgfRxIkT5SIhwCxOWGfbpcQINHQ8fv/9986qVauc27dvWzv/ZlV1PiKpV6xY4XR0dDjbtm3z1hJRvqqqxvDw4UMp/aeGcMcbUtzWu9yI4pC4YMABrLethh3QeqDr4p85+OrVq1INbWpq8tY4zs2bN6XEBShEFBGaEknT0tKC5o2UYbq6uuT79fX1I0NDQ95aaRKNuM0I76u33ECQhYiiS3RTYuvWrd6jcF999dVojy/ucIPVq1dLqXDBzLp167yviCiKRAZDX1+fNAky3b/+4MEDKRsaGqSEW7duOc3Nze88B2GB88h6Wy8RRZO4YMD5bJz/XbZsmbfGdPnyZSM4Xr165Xz22WfeV2/9/vvvzvbt272vCHDmBgOKoH8Gpwr9wvptkky3N7hgeDjsR1QEr0mRGN3d3dJXgH6EMOhTwPcz9T9Ehd+RwJdfVoODgyNurUoeu8Eqi5++98F+miTq6ekx9hM8dmuII/39/d6acPrcqEsa+6gSV2O4ceOGlDNmzJAyCBeNgK0XjsQJNSytJaDZhQuK/FcZjhs3Tppe69ev99Yk16NHj+QeBG0m4nWtXbvWOXbsWM59Y+HChXKjVtQlOFxbKrgvPFFwpgGpn0lbW5ukeK5PBcpOz+yglqDw3uaqLeDTE8+LuuDTOUzYz2ZactHXkqmWWW7B7c222CJRW6rNBK3uhskVHBQNmhV4rzUI8N6jaeE//WsDfEDgdcQVCtUqUU0JbSboAJpBUTomKRo0K9BsuHfvnnx95MgRp7293aobfnDWCftKZ2dnXmeeghfJ5Vps6YwtpUQFg/Yv6ACaQRocGLufiofTvS9fvpR+BgSETad1NRSwzRs2bJB1OOCjHMTsY8gtMcGA2gDGzIOxY8dKGYS71mD8+PFSFkM/DdIMw53jArCNGzc6e/fu9dYmnz8UDhw4IOsQblu2bAkdwp0K4CZiIqB9i83RJUgvk9YlU6dWVJn+TprE3WmXDTpCM/2Ps3WA+jtTkwB9Njae7uSYjymGEY3x6aufunFA1R+1ljBuMEi13wZoxmCKujBuMFjXHEncdQxUGQiEc+fOxRoKlFwMhhRBXwIuicanGyZbxZDnSYCBdVBxDS621Bb8wl6HjZ2XDIYUwT0mmADlwoULEgo2jkVIlcFgSBEMtvrixQtnz549DAXKisFAscPIW5gCX08h4zQk+kBshOYa7u7E68BdrLYOKchgoFhhNOX33ntPJmZBexxnItDkwXUKNg0jj4ltcfZh8eLFUisbGhqSK3TRl2PbaNfA05WUODraN+6etP2sCWpCuIwfd7JmGngoiVhjoMTBhLBgU40hE72v548//pDSFgwGIjIwGCg2epdjsGagN8vNmTNHShvgCk50PAahvwQyDTyUVAwGih1Gk9JwQFhs3rxZbgn/8ssvZZ0tcBMgLjMH3BSITkf0L+ACLttODzMYKDb4FMWM0IDBfVF7wFD/aJc/fvzYqoMJYYaA27Fjh7wOzMV59+5dp7u728rpEnlWgogMrDEQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDFQRJ0+elDEQcfdkGNyNiDsT/WM/4jGeR5XHYKCy0kBYu3atDG+WyfTp0+XOxO+++07GftSfxfMYDpXHYKCywQjJz549k4FX9PbqTIaHh2V8R51kBuMjIiTg6NGjUlLlMBiobDAOARaMq5BrhnLUEjJNw2/TIKrVgsFAifXDDz/ISE4bNmzw1lClMBgoUdAJieHjMYbiy5cvnWvXrjmzZs3yvkuVwmCgxMAZCwyJhjklMDU+JqJ58+aN912qJAYDJQY6HtHXgAVjJeLMxKJFi6QGQZXFYKBEampqkmnrAAOtUmUxGCix9GxEtusfqDwYDJQIuNIx2GRARyRgsliqLAYDVcS9e/ek/O2336QMgyaDXjKNCWg2bdokj3ft2iUlVQ6Dgcrm/v37ctqxtrZ2tL8AlzjjHgis9+vq6nLq6+udv//971J7wGPo7+8fvRqSKocTzhCRwfoag06MiuvyVdg6IoquIsGAAxQHqi7BA9b/PSxBqHb6v++/dffmzZtS+juowtYRVRJuIcddpdhf0ZTCBLfamWoFNCUqoaWlBU0WKYMGBwflezU1NSNum9Jb+6ehoaERt80pP+O2Rb21b7kHvyx+YeuIKqWjo+OdfbWnp0e+tmmfrHgwIASCNBjCQkPV1dXJEhQWFmHriCoBH2L4gAvuy7r/IyRsULE+hr6+PpnqPOwW2l9//VXKxYsXSxmEKhgucsH06H7o9cbdd/7bdcPWEVXKlStXZGyJ4L784YcfSnnhwgUpk64iwYAD+86dO8aBrW7cuCFlQ0ODlEEY6AOCb/bvv//ubN++3fvqrbB1VN2CfVD+xd8fVQkPHjyQcvLkyVKqcePGSXn37l0pE8+rOZRVd3d31uo9+g/Cmgmqra1Nnh/WDMmXje09yg7/T3/VHf1UqM5HaU7iufksuWC/ws+FNRmw3pb9riI1Bq0RzJgxQ0o/rU3oBS1hLl++LM0DjuRDQWg6oomKYeH06yVLljhuUERqTrrHQF5LWlQkGPTADhtwQ5sJ+GeGydUMyZfe2nvx4kVvDZVDWLW+FEsQ9qmBgQF5rKGAQNizZ4+so8KUPRii9i/Mnz9fyqBcwUHJFPykLdWSCfazjz76SEJBaw9xwOAyYRBaNil7MOQ6sLPVJiBXcBAhFNABieZovqEQVivJtuQye/ZsKR89eiSl0pGoli5dKmXSlT0Y9MCeOXOmlH5am8h0NgIQHMBx/yiMhgL8+OOPUmIdrjaMIqxWkm3JpdG72hZjVfrpacrVq1dLmXRlDQb8gw4ePCiPx44dK6XfkSNHpMxU/cKpJgQHOpfwu0pB76MI3t1H9vGHAvqMMEw91n3zzTdZP2zKCR9g6PjE3aS4LBqwz+E4wNwa1nSguylYNjgFiT+hix9OJfm/h8tI/fRqSF1KdZqHpyurh156HLbgFHecsG04ZYptwXEQ3L+TrqzBQKTwQYADJNslwfgwaG5uHj24cX2LLZcQV5uKnK6k9Io6dyWaAOg8xM8MDQ3JgiYkRomu9NWLVKHrGCid8pm7Ev1NuMcAbXP0FWDZu3evfK+9vV1KqhyO4EQVgZBobW113KZB6FBtqFWAXqykMAwcOqBRg0BYUGWwxkCxQzMCTQgNBz8Ng19++UVKqgwGA8Uu20FvywVB1YbBQEQGBgMRGRgMFLuwq2KVTlRDlcVgoNjpfTC9vb1S+r18+VJKTjpTWQwGSoTm5ma5jsF/ezLOVly6dEnuPaDKYjBQReSau3LHjh1y+/3nn38u81bqzVBYt3XrVu+nqFIYDFQ2+PTH3Y9R5q5EcwK3KuO6BVwKPXHiROfFixeyjkP6VR6vfCQiA2sMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDAQkYHBQEQGBgMRGRgMRGRgMBCRgcFARAYGAxEZGAxEZGAwEJGBwUBEBgYDERkYDERkYDCQdZ48eeKsWbPGGTNmjCxz5851rl+/7n2XSoHBkBI4mJ4/f+59ZS+8hvr6emdwcNAZGhqSpa6uzlm0aBHDoYQYDCnR29vrLF++3PpwOHLkiDM8POycOnXKmTBhgix79+6V77W3t0tJxRsz4vIeU5XbuHGj09fX51y8eFEOKBtNmzZNyoGBASkVmhN37tyRGoStry1JWGOwHKrP2tbOtRw8eFAOnnxqDvv37w/9XVjwvUrCNqMJoeHgp2Hwyy+/SEnFYTBYbuHChQ4qffksgHBAv0MuV69elTY9PonxXJT4uqWlxdm2bZv3U+GyhUrYkitosh30S5cu9R5RKTAYUujw4cNSc0DTIhf0TWh7Hp/YCBQ4cOCAlNkgOIKhlG3JFTRUOQyGFGptbZVP/Y6ODm9NZi9evHCmTp36Tiigj4KqG4PBcvn0MeiCgxwH96xZs7zfktumTZukjLPjcuzYsd4j071797xHVBJuFY5Soq2tbcStKYwMDQ15a6JpaWkZqaury/t5bo0EHRqRF/x8Lvi5mpoa76s/NTY2yveoNPhOpkRXV1fBoYADsb+/31vz9iDs6enxvqqs5uZmCQD/9uA1YR22lUqDwZASOJBKEQqdnZ2xfjJjW7BNCLnBwUF5Tbqd+JpKg8FAoVAjQACELTgo44Rw0KYDFtQi/OFFxeOVj0Rk4FkJIjIwGIjIwGAgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgayDwWwxBwUmntEBbjHJ7f37972foGIxGMg6GMb+9OnTztGjRzECmcxOhWXJkiWRJtGh3BgMZJWTJ0/KZDnfffedzMIFmPcCk+hgstt//vOfso6Kw6HdyCpoMmBmrLDdtra2VpbghLeUP9YYyCovX770HpkaGhqkSUHFYzCQVdBsgLC+BHRKUmkwGMgqH3/8sZTNzc2j4YCzEWhioO+BSoPBQFZBh2N3d7c8rqurk1OV+/btc/7zP/9T1mGyXioeg4Gs09TU5PT19UkHJBacqdAJb5ctWyYlFYfBQFXh0KFDUq5fv15KKg6DgayHPoaDBw86HR0do52TVBwGA1kLnY+4NBpXPLa1tTnbtm3zvkPF4gVOZKWNGzc6ly9flj4FnKnQqyCpNBgMRGRgU4KIDAwGIjIwGFIAlwrzdmTKB4MhBX777TfppONAJhQVgyEFZs2a5bS3t8tpPYYDRcFgsJwObZZrWbt2rQxkEjUc0PzAKUE8d+7cue/cuYhrB/T3Xr9+3VtL1YTBYDmcbc5naWlpkXDIdUB/8803zoYNG5yuri65a/HKlSvedxy5kAg3K9XU1DgzZszw1obDMGwaIlEWBk0y8DqGFMIoR6g9RPnXo6YwceJECZQDBw54a98e8EuXLuXVhlWKNYaUQTMA9NblXCZMmCC3N+NuRoWw6O3trfgNS2E1jEwLFYc1BsvlexCg+n/t2jXpkIwKfQ24SUl3FQ0X1haqF2sMlsPBGmVBDaGQUAD9eXRaoraAodujhgL7GOzEGkMK4ID+6KOPnLNnz+YdCoCDddGiRU5PT49z4cIF5z/+4z9401KVYzCkAD7lcZFTIaGg8GmOMxG4UGrPnj3eWqpWbEqkADoQiwkFQAckfPnll1Im0c6dO9kUKREGA+WEGgf6JzDbE0Imbpn6Lfbu3ev9BBWLwUA54WKnf/zjH0XXOsgeDAYy4E5MvQwapyoXL14sIzMnCcZ3RPdYcGGnaGkwGMiAi5dwGTSq7Bg2DZO5ULowGMiAIMCnL6525CdwOjEYyEpXr16V5o52PCLMeEt56TAYyDqrVq1y3nvvvdHp8HHhFUaMxl2jHKmqNHiBE1WF8+fPOytWrDDuAqXCsMZAVWHevHlSssZQGgwGIjIwGMgquOQZnY3BmsHt27elnDNnjpRUHAYDWam5uXk0HBAWmzdvlsu2k3wvh00YDGQVjDGJCWwBN3ah9rBu3Tq56/Px48eJuJejGvCsBBEZWGMgIgODgYgMDAYiMjAYiMjAYCAiA4OBiAwMBiIyMBiIyMBgICIDg4GIDAwGIjIwGIjIwGAgIgODgayD8RcwEU5tba3cdo0SX3NYt9JhMKQAZpSqloPm0KFDMiU/YPwFjBqwb98+5+DBgzImA5UGgyEFMAU+DppqmHfh1atXMkALRoLWQVk2bNjgNDY2OoODg5ztukQYDCmAyWjb29tl3gXbw2Hbtm3OwMCA95Vp0qRJ3iMqBoPBcjoTU65l7dq1zvDwcF7hgCaITjmPUuH506ZNk7Z9EmB7Ll26JHNKTJ061VtLRcHQbpQebW1tIzU1NSM9PT3emszws/39/SOdnZ0Y/k8eu9X1EbfaPjI0NOT9VHZ4Xj5LPrA9HR0dI27TQkoqHY75mEL4pEftIeq/Hh2XaNdjENa7d+/KFPRonsQJNRjUEgDb9v/+3/9z1q9fz8FgSwXBQOmBT1bUGLq7u7010eBTGbtLvs8rN9Rg8JqwbfX19d5aKhaDwXI4IPJZEAqoguerublZnptULS0t8vq6urq8NVQMdj5azv0fRlrcT3qZkOXatWt5NwPQuYfZpNH8yPesRrATNNdSqL/85S9SPnv2TEoqDoMhBXAwY6amQkIBZyY+//xz56effpKvb926JWVUYSGVbcll//79zty5c72v/oTrG2DBggVSUnEYDCkwefJk5+zZswWFwieffOIcPnzYWbhwodQ4zp07J+vXrFkjZRzu3Lnj7Ny5c/Tvnzx5Uq58xEVO2E4qATeliQw4JRnspET7HbsMOiIL6acoBXQ24jQqOhqxLVjwmKcrS4unK4nIwKYEERkYDERkYDAQkYHBQEQGBgMRGRgMRBTgOP8/GFDD903CYb8AAAAASUVORK5CYII=[/img]
[b][size=150][color=#E31B4C]||[/color][color=#095EBC] Benutzerhinweise zum obigen Applet[/color][/size][/b][br][size=150][b][color=#E31B4C]|| [/color][/b][/size]Geben Sie die erweiterte Koeffizientenmatrix eines Schritts ein.[br][size=150][b][color=#E31B4C]|| [/color][/b][/size]Nutzen Sie den Befehl [code]Treppennormalform()[/code] und überprüfen Sie die Lösungen des LGS.[br][size=150][b][color=#E31B4C]|| [/color][/b][/size]Wenn man oben rechts im Applet auf [img]https://juergen-roth.de/images/icons/jr/Schaltflaeche_neu_laden.png[/img] klickt, wird das Applet auf seinen Ausgangszustand zurückgesetzt. [br][size=150][b][color=#E31B4C]|| [/color][/b][/size]Wenn man unten rechts im Applet auf [img]https://juergen-roth.de/images/icons/jr/ggb_vollbild_icon.png[/img] klickt, wird das Applet im Vollbild dargestellt.[br]
[table][tr][td]1.[/td][td]Matrizen werden mit geschweiften Klammern zeilenweise in GeoGebra eingegeben: [br][code]M={{2,3,-1,1},{4,-1,3,11}{3,1,-1,0}}[/code][/td][/tr][br][tr][td][/td][td]Alternativ kann auch die in GeoGebra eingeblendete Tastatur genutzt werden: [img]https://mategnu.de/bilder/modul_3/MatrixGGB.png[/img][/td][/tr][br][tr][td]2.[/td][td]Groß- oder Kleinschreibung des Bezeichners (m oder M) ist dabei egal.[/td][/tr][tr][td]3.[/td][td]Sollten Sie in GeoGebra CAS den Bezeichner vergessen haben, können Sie nachträglich im Dreipunktmenü (neben dem Ausdruck) mit Beschriftung hinzufügen einen Bezeichner automatisch von GeoGebra ergänzen lassen.[/td][/tr][tr][td]4.[/td][td]Vergessen Sie nicht die Kommata zwischen den einzelnen Zeilen und die geschweiften Klammern um den gesamten Ausdruck.[/td][/tr][tr][td]5.[/td][td]Mit dem Befehl [code]Treppennormalform(M)[/code] führt GeoGebra den Gauß-Jordan-Algorithmus mit der Matrix M durch. [/td][/tr][/table]
[i][u]Quellen: [/u][br]Susanne Digel adaptiert von Jürgen Roth.[/i]