a为3阶矩阵,且满足|A|=5,A*为A的伴随矩阵
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|AA*| = ||A|E| = |A|^3 = -27
|(1/3A^2)^-1|= |1/3A^2|^-1 = [ (1/3)^3 |A|^2 ]^-1
= [ 1/27 * 9]^-1
= 3
咨询记录 · 回答于2022-02-14
a为3阶矩阵,且满足|A|=5,A*为A的伴随矩阵
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|AA*| = ||A|E| = |A|^3 = -27|(1/3A^2)^-1|= |1/3A^2|^-1 = [ (1/3)^3 |A|^2 ]^-1= [ 1/27 * 9]^-1= 3