设A,B为三阶矩阵,| A| =3,| B| =-2 ,则| -2 A*T B*-1 | 顺便问下这些运算法则 |a*-1|
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看不明白你的记号 A*T 是 A的转置A^T?B*-1 是B的逆B^-1?
| -2 A*T B*-1 |
= (-2)^3 |A^TB^-1|
= -8 |A| |B|^-1
= -8 * 3 * (-1/2)
= 12.|A^T| = |A|
|kA| = k^n|A|
|A^-1| = |A|^-1
|A*| = |A|^(n-1)
|AB|=|A||B|