Which of the following statements is/are...

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.

Similar Questions

Explore conceptually related problems

If a square matrix A is involutory, then A^(2n+1) is equal to

The determinant of a skew symmetric matrix of odd order is 0 1 - 1 None of these

If A is a skew-symmetric matrix such that AB=aI, then find (A^(-1))^(T)

h1.If C is skew-symmetric matrix of order n and X is n xx1 column matrix,then X'CX is a

Let A be a non-singular square matrix of order n.Then; |adjA|=|A|^(n-1)

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 , then C^(T)AC is

If A=[3-41-1], show that A-A^(T) is a skew symmetric matrix.

If A is square matrix of order n gt 1, then which one of the following is correct ?

If I_(n) is the identity matrix of order n then (I_(n))^(-1)=