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Question

If ATBT=CT then C =

A
AB
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B
BA
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C
BC
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D
ABC
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Solution

The correct option is B BA
By transpose properties
we know that
(AB)T=BTATand(AT)T=A
Given
ATBT=CT
(BA)T=CT
Take transpose of both side
((BA)T)T=(CT)T
BA=C

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