If A is a matrix of order 4, and |adj A|

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 4, and |adj A| = 8, then what is the value of |A| ?

Options:

-2

Both (a) and (b)

None of these

Correct Answer:

Explanation:

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

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

8 = \( { |A| }^{ 3 } \)

|A| = 2