Question

If A is a square matrix, then A-A' is a *

(i) Diagonal matrix

(ii) Symmetric matrix

(iii) Skew- symmetric matrix

(iv) None of these​

Answer 1

Answer:

A symmetric matrix is a square matrix whose transpose is equal to itself which meansA′=A. So the transpose of the matrix A−A′ results in a negative of the matrix A−A′. Hence A−A′ is a skew symmetric matrix. So the correct choice is B.