Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a square matrix of order 3 and |A| = 5, then |adj A| is :

Options:

5

25

125

625

Correct Answer:

25

Explanation:

The correct answer is Option (2) → 25

$|A| = 5$

$|Adj\,A|=|A|^{n-1}$

$n=3$

so $|Adj\,A|=5^2=25$