Q9 of 124 Page 201

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

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

A = P + Q

Where and ,we will find transpose of matrix A

Now using the above formulas

Hence A = P + Q

[Matrix A as the sum of P and Q]

Show that the matrix is skew-symmetric.

HINT: Show that A’ = -A.

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

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