Question

If $A$ and $B$ are square matrices of order 3 such that $det A = 1$ and $det B = -1$, then $det (- 10 AB) = ?$

• A. 10
• B. -10
• C. -1000
• D. 1000

Answer 1

Answer: (C)

-1000

Answer 2

$det (- 10 AB) = (- 10) det A$ and $B = (- 10) (1) (- 1) = 10$