Question

If the matrix 'A' is both symmetric and strew symmetric then.

Options

• 'A' is diagonal matrix

• 'A' is a zero matrix

• 'A' is a Square matrix

• None of these

Answer 1

'A' is a zero matrix

Explanation:

If' A' is both symmetric and skew-symmetric matrix, than,

A = A and A = – A

A = A ⇒ A = – A

⇒ A + A = 0

⇒ 2A = 0

⇒ A = 0