A) A
B) A2
C) A3
D) None of these
Correct Answer: B
Solution :
[b] \[\because {{A}^{3}}=1\] Multiplying by \[{{A}^{-1}}\]on both sides, we have \[{{A}^{3}}.\text{ }{{A}^{-1}}=1.\text{ }{{A}^{-1}}\] \[\Rightarrow {{A}^{2}}.\left( A-{{A}^{-1}} \right)={{A}^{-1}}\] \[\Rightarrow {{A}^{2}}.1={{A}^{-1}}\] \[\Rightarrow {{A}^{2}}={{A}^{-1}}\] Hence, option [b] is correct.You need to login to perform this action.
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