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