Symmetric & Skew Symmetric matrices

In a symmetric matrix,

  A’ = A

And in a skew symmetric matrix

  A’ = −A

Note: Here matrix should be a square matrix

Let’s take some examples

For

Since A = A’

  ∴ A is a symmetric matrix

For

Therefore,

  B’ = −B

So, B is a skew symmetric matrix

Note: In a skew symmetric matrix, diagonal elements are always 0.