Question

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
$A = \left[\begin{array}{ccc} 3 & 3 & -1 \\ -2 & -2 & 1 \\ -4 & -5 & 2 \\\end{array}\right]$

Answer 1

Answer:

Let A = , then A' = Now, A + A' = + = Let P = 1/2 ( A + A' ) = 1/2 = Now, P' = = P Thus, P = 1/2 ( A + A' ) is a symmetric matrix.Now, A - A' = - = is ur ans