Q7 of 124 Page 201

Show that the matrix is skew-symmetric.
HINT: Show that A’ = -A.

Given

To Prove: A is a skew symmetric matrix.

Proof: As for a matrix to be skew symmetric A’ = -A

We will find A’.

= -

A’ = -A

So A is A skew symmetric matrix.

If show that (A + A’) is symmetric.

If show that (A + A’) is skew-symmetric.

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

Show that the matrix is skew-symmetric.HINT: Show that A’ = -A.