设A为二阶方阵,A*为A的伴随矩阵,且|A|=-1,B=2(2A)?1?(2A)*00A,则|B|=______

2025-03-18 02:18:15
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回答1:

由题意,得
|B|=2
(2A)?1?(2A)* 0
0 A
=2|[(2A)-1-(2A*)]A|
=2|A[
1
2
A?1?22?1A*]|

=2|
1
2
E?(?2)E|

=2?(
5
2
)2
25
2