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Question

For any 2×2 matrix A, if A[adj.A]=[100010] ,then |A| equals

A
0
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B
10
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C
20
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D
100
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Solution

The correct option is B 10
A[AdjA]=[100010]
A(AdjA)=10I(1)
A1=AdjA(A)
IA=AdjA(A)
(A)I=A.AdjA(2)
Comparing (1) and (2)
(A)=10
Option-B

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