If A is a square matrix such that `A-A^(T) = 0`, then which one of the following is correct ?

Options

A. A must be a null matrix
B. A must be a unit matrix
C. A must be a scalar matrix
D. None of the above

Answer

D

Explanation

Since, A is a square matrix and `A - A^(T) = 0 rArr A = A^(T)`.
A is a symmetric matrix.
Considering following two points.
1. No two rows or two columns should be identical and
2. There should be two 1's and one 0, in every row or column.
Such determinant can be found.