GATE 2023 CS Question 23: Determinants of Matrices - Solution

Computer Sciences > GATE 2023 > Linear Algebra

Let det(A) and det(B) denote the determinants of the matrices A and B, respectively. Which one of the options given below is TRUE?

det(A) = det(B)

det(B) = -det(A)

det(A) = 0

det(AB) = det(A) + det(B)

Correct : a

Similar Questions

Suppose that P is a 4 x 5 matrix such that every solution of the equation Px = 0 is a scalar multiple of [2 5 4 3 1]T. The rank of P is _______.

#1089 Fill in the Blanks

Suppose that P is a 4 x 5 matrix such that every solution of the equation Px = 0 is a scalar multiple of [2 5 4 3 1]T. The rank of P is _______.

#1089 Fill in the Blanks

Suppose that P is a 4 x 5 matrix such that every solution of the equation Px = 0 is a scalar multiple of [2 5 4 3 1]T. The rank of P is _______.

#1089 Fill in the Blanks