What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix?

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What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix?

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Answer 1 · 2016-03-04T19:13:51

I do not think you can multiply them!

Explanation:

You can use the dimensions of the original matrices as:

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In your case you get:
$2 \times 3$ $2×3$ and $4 x 2$ $4x2$
So that $n = 3$ $n=3$ is different from $k = 4$ $k=4$ and the multiplication is not possible!
On the other hand if you multiply the other way round you get:
$4 \times 2$ $4×2$ and $2 \times 3$ $2×3$
It is possible and the result will have dimension $4 \times 3$ $4×3$ .

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What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix?

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