$[A]_{n \times m}, [B]_{m \times m},$ are the two matrices. If multiplication AB exist, then

n = 1, m = 1

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n = 2, m = 1

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n = 1, m = 3

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All of the above are valid

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Solution

The correct option is D All of the above are valid
For multiplication of two matrices to exist, number of columns in the first matrix must be equal to number of rows in the second matrix.
So for a given case, $m = m$ which is always true.
Therefore multiplication exists for every $n$ and $m .$

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[A]n×m,[B]m×m, are the two matrices. If multiplication AB exist, then

The correct option is D All of the above are validFor multiplication of two matrices to exist, number of columns in the first matrix must be equal to number of rows in the second matrix.So for a given case, m=m which is always true.Therefore multiplication exists for every n and m.

$[A]_{n \times m}, [B]_{m \times m},$ are the two matrices. If multiplication AB exist, then

The correct option is D All of the above are valid
For multiplication of two matrices to exist, number of columns in the first matrix must be equal to number of rows in the second matrix.
So for a given case, $m = m$ which is always true.
Therefore multiplication exists for every $n$ and $m .$