Let Let det(A) and det(B) denote the determinants of the matrices A and B,…

GATE · 2023 · CS · Computer Science & IT

Let

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?

1. A.

   det(A) = det(B)

2. B.

   det(B) = −det(A)

3. C.

   det(A)=0

4. D.

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

Attempted by 252 students.