Question

Statement - 1: Determinant of a skew-symmetric matrix of order 3 is zero.
Statement - 2 : For any matrix A, det $(A)^{T}$ = det (A) and det (- A) = - det (A). Where det (B) denotes the determinant of matrix B. Then :

• A. Both statements are true
• B. Both statements are false
• C. Statement-1 is false and statement-2 is true
• D. Statement-1 is true and statement-2 is false

Answer 1

Answer: (D)

Statement - 1: Determinant of skew symmetric matrix of odd order is zero.
Statement - 2 : det $(A)^{T}$ = det (A) .
det (- A) = - $(-1)^n$ det (A). where A is a $n \times n $ order matrix.