设A为3阶矩阵,[A]=1/3,求[(3A)-1

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设A为3阶矩阵,[A]=1/3,求[(3A)-1
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设A为3阶矩阵,[A]=1/3,求[(3A)-1
设A为3阶矩阵,[A]=1/3,求[(3A)-1

设A为3阶矩阵,[A]=1/3,求[(3A)-1
|(3A)^-1|
= |3A|^-1
= (3^3 |A|)^-1
= 1/9