Something that has bothered me in my linear algebra class was that I learned a lot of techniques but didn't learn why they worked, or what they were useful for.(adsbygoogle = window.adsbygoogle || []).push({});

One of the things is this: why is matrix multiplication so useful in the way it's defined, and not in any other way? Of all the ways we could define the components of a matrix after multiplication, why does the commonly used way turn out to be so great?

I feel this is such a basic property that I should've learned it a long time by now, but I haven't, and I feel sorry about that.

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# Matrix multiplication

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