Question 1

Why does matrix multiplication require matching dimensions?

Accepted Answer

The number of columns in A must equal the number of rows in B so each output element sums compatible products.

Question 2

Is matrix multiplication commutative?

Accepted Answer

No. In general, A×B is not equal to B×A because order changes the computed element products.

Question 3

Can I multiply non-square matrices?

Accepted Answer

Yes. Matrices can be rectangular as long as the inner dimensions match for multiplication.

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