A) \[{{A}^{-1}}\]
B) \[A+I\]
C) \[I-A\]
D) \[A-I\]
Correct Answer: C
Solution :
\[{{A}^{2}}-A+I=0\] \[\Rightarrow \]\[{{A}^{-1}}{{A}^{2}}-{{A}^{-1}}A+{{A}^{-1}}I=0\] \[\Rightarrow \]\[A-I+{{A}^{-1}}=0\] \[\Rightarrow \]\[{{A}^{-1}}=I-A\]You need to login to perform this action.
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