Question

An anti-symmetric matrix is a one in which?

(a) All diagonal elements are zero

(b) All diagonal elements are 1

(c) A = A^T

(d) A = -A^T

I had been asked this question in unit test.

This question is from Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (d) A = -A^T

The explanation: Foran anti-symmetric matrix, matrix changes it sign after transpose.