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If A is any m × n matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order:
Question

If A is any m × n matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order:

A.

n × m

B.

m × m

C.

n × n

D.

m × n

Correct option is A

Given A is any m × n matrix.
Let B be any matrix, then AB is possible and BA are possible if order of B is n×m.

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