[size=150][b][size=200]1. 행렬의 곱셈[/size][/b][br][br]두 행렬 [math]\large A[/math], [math]\large B[/math]에 대하여 [math]\large A[/math]의 열의 개수가 [math]\large B[/math]의 행의 개수와 같을 때, [math]\large A[/math]의 제[math]\large i[/math]행의 각 성분과 [math]\large B[/math]의 제[math]\large j[/math]열의 각 성분을 차례로 곱하여 더한 것을 [math]\large \left(i,\,j\right)[/math] 성분으로 하는 행렬을 [math]\large A[/math]와 [math]\large B[/math]의 곱이라 하고, 이것을 기호로 [math]\large AB[/math]와 같이 나타낸다.[br][center][img]data:image/png;base64,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[/img][/center][/size][size=150]아래 지오지브라 애플릿을 이용하여 행렬의 곱셈을 연습해보자.[/size]
[size=150]한편 정사각행렬 [math]\large A[/math]의 거듭제곱은 각각 다음과 같이 계산한다.[br][center][math]\large A^2=AA[/math], [math]\large A^3=A^2A[/math], [math]\large \cdots[/math], [math]\large A^n=A^{n-1}A[/math][br](단, [math]\large n\geq 2[/math]인 자연수이다.)[/center][br]아래 지오지브라 애플릿을 이용하여 주어진 행렬 [math]\large A[/math]의 거듭제곱을 구해보자.[br][br]※ 지수 입력 방법: [math]\large A^3[/math]을 지오지브라 애플릿에 입력할 때는 가상키보드를 이용하거나 [code]A^3[/code]와 같이 직접 입력하면 된다.[/size]