Which of the following statements is/are true about square matrix `A` or order `n ?` `(-A)^(-1)` is equal to ` A^(-1)w h e nn` is odd only If `A^n-O ,t h e nI+A+A^2++A^(n-1)=(I-A)^(-1)dot` If `A` is skew-symmetric matrix of odd order, then its inverse does not exist. `(A^T)^(-1)=(A^(-1))^T` holds always.

Options

A. `(-A)^(-1)` is equal to `-A^(-1)` which n is odd only
B. If `A^n=0` , then `I+A+A^2`+…..+ `A^(n-1)=(I-A)^(-1)`
C. If A is skew-symmetric matrix of odd order, then its inverse does not exist.
D. `(A^T)_(-1)=(A^(-1))^T` holds always

Answer

B, C