Which of the following is/are true ?

Options

A. A is a non-singular square matrix of order `nxxn` and k is a scalar ,then ` |adj (kA)|` is equal to `k^(n^(2))|A| ^(n-1) `
B. If |A| =0 and adj B = O, then system of equation AX =B has infinitely many solutions , Here A is matrix of order ` 3xx3X= [{:( x),(y),(z) :}]` and B is matrix of order` 3xx 1`
C. A and B are two square matrices of order `nxxn` such that AB =O, and A is non singular then B must be null matrix
D. If AB is non singular ,then A and B both must be non singular

Answer

A, C, D