If each non diagonal element of a square matrix is zero,then the matrix is called

If A is any square matrix, then

Let psi_A be defined as trace of a matrix A which is sum of diagonal elements of a square matrix. Which of the following is true?

Let R be a square matrix of order greater than 1 such that R is upper triangular matrix .Further suppose that none of the diagonal elements of the square matrix R vanishes. Then (A) R must be non singular (B) R^-1 does not exist (C) R^-1 is an upper triangular matrix (D) R^-1 is a lower triangular matrix

Each diagonal element of a skew symmetric matrix is (A) zero (B) negative (C) positive (D) non real

If A is a non-singlular square matrix of order n, then the rank of A is

If A is a square matrix, then A - A' is a

If one of the eigenvalues of a square matrix a order 3xx3 is zero, then prove that det A=0 .

Let psi_A be defined as trace of a matrix A which is sum of diagonal elements of a square matrix. psi_(lambdaA+mu B) =

If A is a square matrix, then A is skew symmetric if

If A is a non-diagonal involutory matrix, then