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Multiplication of Matrices

In A and B ar...

Question

In A and B are two matrices and if AB exists, then BA exists

A

Only if A has as many rows as B has columns

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B

Only if both A and B are square matrices

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C

Only if A and B are skew symmetric matrices

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D

Only if both A and B are symmetric .

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Solution

The correct option is A Only if A has as many rows as B has columns
If A and B are two matrices of order $m \times n$ and $p \times q$ respectively then BA will exist only if q=m

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