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Transpose of a Matrix

If A', B' are...

Question

If A', B' are transpose matrices of the square matrices A, B respectively , then (AB)' is equal to

A

A'B'

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B

B'A'

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C

AB'

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D

BA'

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Solution

The correct option is B B'A'
It is a fundamental concept ,i.e., (AB)' = B'A'

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Similar questions

Q. If A', B' are transpose matrices of the square matrices A, B respectively , then (AB)' is equal to

Q. Let A and B are two non-singular square matrices,

A^{T}

B^{T}

are the transpose matrices of A and B respectively, then which of the following is correct

Q. Let A and B be two nonsingular square matrices, A

^{T}

^{T}

are the transpose matrices A and B, respectively, then which of the following are correct?

A

B

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A^{*} = A

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Q. If square matrices

A

B

A A^{'} = A^{'} A, B B^{'} = B^{'} B, A B^{'} = B^{'} A

,
then is the statement

A B (A B)^{'} = (A B)^{'} A B

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is transpose of

A

If true enter 1 else enter 0

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