Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 3 and |A| = 3 , then the value of |adj A| is

Options:

9

3

6

Cannot be determined

Correct Answer:

9

Explanation:

We know that |adj A| = \( { |A| }^{ n-1 } \) , where n is the order of matrix A.

So, |adj A| = \( { |A| }^{ 3-1 } \) = \( { |A| }^{ 2 } \) = \( { 3 }^{ 2 } \) = 9