A matrix which is both symmetric as well as skew-symmetric is

Options

A. A is a diagonal matrix
B. A is a zero matrix
C. A is a square matrix
D. None of the above

Answer

B

Explanation

Let A be square matrix .
`:'` A is a symmetric matrix
`A'=A .. .(1)`
`,' ` A is skew symmetric matrix
`therefore A'=-A .. .(2) `
From equations (1) and (2) ,
`implies A=-A`
`implies 2A=0`
`implies A=0 `
A is a zero matrix .