Question

求矩阵,已知AP=PB,其中p=(1 0 0;2 -1 0;2 1 1)B=(1 0 0;0 0 0;0 0 -1)求A

Answer 1

A=PBP^-1

1 0 0

2 0 0

6 -1 -1

A^5 = PB^5P^-1 = PBP^-1 = A.