Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

If A is a square matrix of order 3 and |A| = 3, then the value of |3 A'| is

Options:

9

-9

81

-81

Correct Answer:

81

Explanation:

The correct answer is Option (3) → 81

$|A| = 3,\;\; \text{order of } A = 3$

$|A'| = |A| = 3$

$|3A'| = 3^3 |A'|$

$= 27 \times 3$

$= 81$

The value of $|3A'|$ is $81$.