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प्रश्न
Which multiplication is performed on \[B(AB)^{-1}=A^{-1}\] to obtain \[I(AB)^{-1}=B^{-1}A^{-1}\]?
पर्याय
Pre multiplying both sides by \[A^{-1}\]
Pre multiplying both sides by \[B^{-1}\]
Post multiplying both sides by \[A^{-1}\]
Post multiplying both sides by \[B^{-1}\]
MCQ
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उत्तर
Pre multiplying by \(B^{-1}\) gives \(B^{-1}B(AB)^{-1}=B^{-1}A^{-1}\). Since \(B^{-1}B=I\), it follows that \((AB)^{-1}=B^{-1}A^{-1}\).
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