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