Q.
The number of 2 × 2 matrices A=a bc d or which a bc d−1=1/a1/b1/c1/d,(a,b,c,d∈R) is
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a
0
b
1
c
2
d
infinite
answer is A.
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Detailed Solution
If ad−bc≠0 thenA−1=1ad−bcd−b−caThus, dad−bc=1a⇔ad=ad−bc⇔bc=0⇔b=0 or c=0Therefore,a bc d−1=1/a 1/b1/c 1/dis never possible.
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