Types of Matrix

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

Let A be an mxxn matrix. If there exists a matrix L of type nxxm such that LA=I_(n) , then L is called left inverse of A. Which of the following matrices is NOT left inverse of matrix [(1,-1),(1,1),(2,3)]?

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

A is a square matrix and I is an identity matrix of the same order. If A^(3)=O , then inverse of matrix (I-A) is

If matrix A=[1\ 2\ 3],\ write A A' , where A ' is the transpose of matrix A

If A is a square matrix and |A| =2, then write the value of |A A '|, where A ' is the transpose of matrix A .

If the order of matrix A is m xx n, then the order of the transpose of matrix A is :

In the matrix [[1,0,5],[2,-3,4]] order of matrix matrix is………