If A is a matrix of order 3, and |adj A|

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 3, and |adj A| = 25, then what is the value of |A|?

Options:

-5

Both (a) and (b)

None of these

Correct Answer:

Both (a) and (b)

Explanation:

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

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

25 = \( { |A| }^{ 2 } \)

|A| = 5 or -5