Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 4, and |A| = -3, then what is the value of |adj A|?

Options:

27

-27

-9

9

Correct Answer:

-27

Explanation:

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

|adj A| = \( { |A| }^{ 4-1 } \)

|adj A| = \( { (-3) }^{ 4-1 } \)

|adj A| = -27