Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

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

Options:

0

2

16

-16

Correct Answer:

16

Explanation:

The correct answer is Option (3) → 16

$|A|=2$

order = 3

$|adj\,A|=|A|^{3-1}=2^2=4$

so $|adj\,adj\,A|=4^2=16$