Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Let A be a non-singular square matrix of order n with |adj A| = 64 and |A| = 4, then 'n' is:

Options:

3

4

5

6

Correct Answer:

4

Explanation:

The correct answer is Option (2) → 4

$|A|=4$

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

$=4^{n-1}=64$

$4^{n-1}=4^3$

$n-1=3$

$n=4$