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Question

The number of 2×2 matrices A=[abcd] for which [abcd]1 =1a1b1c1d, (a,b,c,d ϵ R) is

A
0
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B
1
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C
2
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D
Infinite
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Solution

The correct option is A 0
If A=[abcd][abcd]1=[1/a1/b1/c1/d] Not possible for any values of a,b,c
A=[abcd]=Adj[dcba]A1=[dcba]

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