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
2
B
4
C
8
D
16

Solution

## The correct option is C 8This 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(M)| = |M|n−1 So here, |Adj(A)|=|A|4−1=23=8

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