Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Given that $A$ is a square matrix of order $3 \times 3$ and $|A| = -4$. Find $|\text{adj } A|$.

Options:

-16

16

64

-64

Correct Answer:

16

Explanation:

The correct answer is Option (2) → 16 ##

$|\text{adj } A| = |A|^{n-1}$

where $n$ is the order of matrix $A$.

$|\text{adj } A| = (-4)^{3-1} = (-4)^2 = 16$