Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If $A$ and $B$ are square matrices of order 3 such that $|A| = -1, |B| = 3$, then find the value of $|2AB|$.

Options:

$-6$

$-8$

$-24$

$24$

Correct Answer:

$-24$

Explanation:

The correct answer is Option (3) → $-24$ ##

$|2AB| = 2^3 \times |A| \times |B|$

$= 8 \times (-1) \times 3 = -24$