Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A and B square matrices of order 3 such that $|A|= -1, |B|= 5$, then the value of $|2AB|$ is:

Options:

-40

-10

20

-20

Correct Answer:

-40

Explanation:

The correct answer is Option (1) → -40

Given:

$|A| = -1$, $|B| = 5$

A and B are square matrices of order 3.

Then, using determinant properties:

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

$= 8 \cdot (-1) \cdot 5 = -40$