Matrix question-Tell whether the product AB is defined for A4x5 and B5x3. If yes, give the product's dimensions as the following example: 2x3

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Matrix question-Tell whether the product AB is defined for A4x5 and B5x3. If yes, give the product's dimensions as the following example: 2x3

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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As long as the two inner numbers, the 5 (column) of A and the 5 (row) of B, are the same then the product of the two matrices is defined. The dimensions will be the two outer numbers, the 4 (row) of A and the 3 (column of B), so 4x3 is the resulting dimension.
mbradar2 is right !!
\[4 \times \cancel 5<--> \cancel5 \times 3.\]So matrices can be multiplied. & Order of product is \[4 \times 3.\]

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