A) \[-(3{{A}^{2}}+2A+5I)\]
B) \[3{{A}^{2}}+2A+5I\]
C) \[3{{A}^{2}}-2A-5I\]
D) None of these
Correct Answer: A
Solution :
\[3{{A}^{3}}+2{{A}^{2}}+5A+I=0\Rightarrow I=-3{{A}^{3}}-2{{A}^{2}}-5A\] \[\Rightarrow \]\[I{{A}^{-1}}=-3{{A}^{2}}-2A-5I\] \[\Rightarrow \] \[{{A}^{-1}}=-(3{{A}^{2}}+2A+5I)\]
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