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Question

If A is a square matrix of order n such that |adj (adj A)|=|A|9, then the value of n can be


A

4

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B

2

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C

either 4 or 2

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D

None of these

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Solution

The correct option is A

4


We know that for a square matrix of order n, |adj A| =|A|n1
|adj (adj A)|=|adj A|n1=|A|(n1)2=|A|9 (n1)2=9n22n8=0
n = 4 as n =-2 is not possible.


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