A) \[PQ\]
B) \[QAP\]
C) \[PAQ\]
D) \[P{{A}^{-1}}Q\]
Correct Answer: C
Solution :
[c] Given \[adj\,B=A,\left| P \right|=\left| Q \right|=1\] Consider, adj \[({{Q}^{-1}}B\,{{P}^{-1}})\] \[=(adj\,{{P}^{-1}})(adj\,\,B)(adj\,\,{{Q}^{-1}})\] \[={{(adj\,P)}^{-1}}A.{{(adj\,Q)}^{-1}}={{({{P}^{-1}})}^{-1}}A{{({{Q}^{-1}})}^{-1}}\] \[=PAQ\].You need to login to perform this action.
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