If A is a matrix of order 2, and |adj A|

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 2, and |adj A| = -2, then which of the following statements is true for |A|?

Options:

|A| will be 2

|A| will be -2.

|A| can be 2 and -2

None of these

Correct Answer:

|A| will be -2.

Explanation:

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

$|adj\, A| =|A|$ , $-2 = |A|^{ 1 }$ , $|A| = -2$