线性代数 求n阶矩阵矩阵A=-1 1 1 1,求A^n1 -1 1 11 1 -1 11 1 1 -1

A^2 = 2^2 E
A^3 = 2^2 A
A^4 = 2^4 E
A^5 = 2^4 A
一般有
n为偶数时,A^n = 2^nE
n为奇数时,A^n = 2^(n-1)A