Why do we multiply the matrices the way we do?
Why do we do it by multiplying the Row of first with the Column of second. What's the practical use of it and who invented it? Logically 4x2 means four times two or two times four. So why can be matrix multiplication just the dot product of corresponding elements?

It's one of the things that baffles me.
Why do we multiply the matrices the way we do?
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Why do we do it by multiplying the Row of first with the Column of second. What's the practical use of it and who invented it? Logically 4x2 means four times two or two times four. So why can be matrix multiplication just the dot product of corresponding elements?

It's one of the things that baffles me.