Question

If a matrix A is both symmetric and skew symmetric then matrix A is ____________.

Options

• a scalar matrix

• a diagonal matrix

• a zero matrix of order n x n

• a rectangular matrix

Answer 1

If a matrix A is both symmetric and skew-symmetric then matrix A is a zero matrix of order n x n.

Explanation:

as it satisfies a_ij = a_ji, = -a_ji and a_ii = 0