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Question
If A and B are two non singular matrices of the same order such that Br=I, for some positive integer r>1, then A−1Br−1A−A−1B−1A=
If A and B are two non singular matrices of the same order such that Br=I, for some positive integer r>1, then A−1Br−1A−A−1B−1A=
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Solution
The correct option is C O
A−1Br−1A−A−1B−1A=A−1BrB−1A−A−1B−1A
=A−1IB−1A−A−1B−1A(∵Br=I)
=A−1B−1A−A−1B−1A
=O
Hence, option C.
A−1Br−1A−A−1B−1A
=A−1BrB−1A−A−1B−1A
=A−1IB−1A−A−1B−1A(∵Br=I)
=A−1B−1A−A−1B−1A
=O
=A−1IB−1A−A−1B−1A(∵Br=I)
=A−1B−1A−A−1B−1A
=O
Hence, option C.
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