设A为3阶方阵,⼀A⼀ =1⼀3 ,求⼀(2A)^-1 +3A*⼀的值.

2025-06-28 08:12:10
推荐回答(1个)
回答1:

A* = |A|A^-1 = (1/3)A^-1
所以有
|(2A)^-1+3A*|
= |(1/2)A^-1+A^-1|
= | (3/2)A^-1|
= (3/2)^3 |A^-1|
= (27/8) * 3
= 81/8