Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

If A is a square matrix of order 3 such that |A| = 2, then the value of |adj(adj A)| is:

Options:

2

4

8

16

Correct Answer:

16

Explanation:

The correct answer is Option (4) - 16

$|A| = 2$

$|adj(adj\,A)|=|A|^{(n-1)^2}$

$=2^{(3-1)^2}$

$=2^4=16$