线性代数题,请高人指教!!!!

2025-01-18 18:13:52
推荐回答(3个)
回答1:

A^3 = (αβ^T)^3 = αβ^Tαβ^Tαβ^T = α(β^Tα)^2β^T
= (β^Tα)^2 αβ^T
= 2^2 *
1 0 1
2 0 2
1 0 1
=
4 0 4
8 0 8
4 0 4

回答2:

α=﹙1,2,1﹚
A=αβT=﹙1,2,1﹚﹙1,0,1﹚T=1+0+1=2
A³=8

回答3:

A=ab^T=1   0    1

               2  0    2

               1   0    1