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Transpose of a Matrix

If A and ...

Question

If $A$ and $B$ are any two matrices, then

A B = B A

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A B = I

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A B = 0

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A B

may or may not be defined

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Solution

The correct option is A $A B$ may or may not be defined
Given $A$ and $B$ are any two matrices, then if number of columns of $A$ is equal to the number of rows of $B$ then $A B$ will be defined, otherwise not.

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