Question

Statement 1 : The determinant of a matrix

Statement 2 : The determinant of a skew symmetric matrix of odd order is zero.

(a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

(b) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(c) Statement-1 is true, Statement-2 is false.

(d) Statement-1 is false, Statement-2 is true.

Answer 1

Correct option (a)

Explanation:

The determinant of a skew symmetric matrix of odd order is zero i.e.,

|A| = |– AT| ⇒ |A| = – |A| ⇒ 2|A| = 0 ⇒ |A| = 0