A) \[\frac{A-I}{2}\]
B) \[\frac{A+I}{2}\]
C) \[2(A-I)\]
D) \[2A+I\]
Correct Answer: A
Solution :
[a] \[(A-2I)(A+I)=0\Rightarrow AA-A-2I=0\] \[\Rightarrow A\left( \frac{A-I}{2} \right)=I\therefore \frac{A-I}{2}={{A}^{-1}}\]
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