设A,B都是三阶矩阵,A=,且满足(A*)-1B=ABA+2A2,则B=________.

admin2018-05-22  22

问题 设A,B都是三阶矩阵,A=,且满足(A*)-1B=ABA+2A2,则B=________.

选项

答案[*]

解析 |A|=-3,A*=|A|A-1=-3A-1,则(A*)-1B=ABA+2A2化为AB=ABA-2A2,注意到A可逆,得B=BA+2A或-B=3BA+6A,则B=-6A(E+3A)-1,E+3A=,(E+3A)-1=
则B=-6A(E+3A)-1=
转载请注明原文地址:https://kaotiyun.com/show/8Sk4777K
0

随机试题
最新回复(0)