If A is a square matrix of order $3&time

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A is a square matrix of order $3×3$ such that $|A|=4, $ then $|-3A|$ is equal to :

Options:

-12

-108

108

Correct Answer:

-108

Explanation:

The correct answer is option (3) → -108 $\frac{80}{89}$

$|A|=4$

so $|-3A|=(-3)^3|A|$

$=-27×4$

$=-108$