Q12 of 124 Page 201

Express the matrix as sum of two matrices such that one is symmetric and the other is skew-symmetric.

Given, to express as sum of symmetric matrix P and skew symmetric matrix Q.

A = P + Q

Where and,

First we will find A’

Now using above mentioned formulas

Now A = P + Q

Express the matrix as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix A as the sum of a symmetric and a skew-symmetric matrix, where

13 A

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and

13 B

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and