Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 3, and |A| = -5, then what is the value of |adj A| ?

Options:

25

-25

15

-15

Correct Answer:

25

Explanation:

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

|adj A| = \( { |A| }^{ 3-1 } \)

|adj A| = \( { (-5) }^{ n-1 } \)

|adj A| = 25