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Question

If A is a square matrix of order 4 and the value of |A| is equal to 2. Then the value of |Adj(A)| is,


A

8

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B

16

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C

2

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D

2

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Solution

The correct option is A

8


This is one of the property of adjoint of a matrix. If for a matrix M of order n the determinant |M| is known, then the value of |Adj(M)| would be given by,

|( |Adj(A)| = |M|n1

So here,

|Adj(A)|=|A|41=23=8.


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