Question

Let A be a skew-symmetric matrix of order n then

(A) |A| = 0 if n is even

(B) |A| = 0 if n is odd

(C) |A| = 0 for all n ∈ N

(D) None of these

Answer 1

Answer is (B) |A| = 0 if n is odd

Because determinant of every skew-symmetric matrix of odd order is zero, therefore, |A| = 0 if n is odd.