Question

线性代数题目：设A是n阶方阵,且|A|=4,则|(4AT)-1|=

Answer 1

|(4A^T)^-1|

= | (1/4) (A^T)^-1|

= (1/4)^n (1/|A^T|)

= 1/4^n (1/|A|)

= 1/4^(n+1)