如何求伴随矩阵啊,很急
答案:1 悬赏:40 手机版
解决时间 2021-05-14 06:54
- 提问者网友：伴风望海
- 2021-05-13 07:23
线性中的，算了很久都不会，望各位贤能帮帮忙啊
最佳答案
- 五星知识达人网友：由着我着迷
- 2021-05-13 07:47
首先求出 各代数余子式
A11 = (-1)^2 * (b22 * c33 - b23 * c32) = b22 * c33 - b23 * c32
A12 = (-1)^3 * (b21 * c33 - b23 * c31) = -b21 * c33 + b23 * c31
A13 = (-1)^4 * (b21 * c32 - b22 * c31) = b21 * c32 - b22 * c31
B21 = (-1)^3 * (a12 * c33 - a13 * c32) = -a12 * c33 + a13 * c32
……
C33 = (-1)^6 * (a11 * b22 - a12 * b21) = a11 * b22 - a12 * b21
然后伴随矩阵就是
A11 A12 A13
B21 B22 B23
C31 C32 C33
的转置 矩阵 AT（T为上标）
A11 = (-1)^2 * (b22 * c33 - b23 * c32) = b22 * c33 - b23 * c32
A12 = (-1)^3 * (b21 * c33 - b23 * c31) = -b21 * c33 + b23 * c31
A13 = (-1)^4 * (b21 * c32 - b22 * c31) = b21 * c32 - b22 * c31
B21 = (-1)^3 * (a12 * c33 - a13 * c32) = -a12 * c33 + a13 * c32
……
C33 = (-1)^6 * (a11 * b22 - a12 * b21) = a11 * b22 - a12 * b21
然后伴随矩阵就是
A11 A12 A13
B21 B22 B23
C31 C32 C33
的转置 矩阵 AT（T为上标）
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