A乘B的转置的逆等于A逆的转置乘B逆的转置不

2024-11-15 09:30:32
推荐回答(1个)
回答(1):

解题须知:
(A B)t = Bt At
(A B)ˉ¹ = Bˉ¹ Aˉ¹
Atˉ¹ = (Aˉ¹)t

解:
(A Bt)ˉ¹ = Btˉ¹ Aˉ¹ = (Bˉ¹)t Aˉ¹