buybuydandavis comments on Stupid Questions September 2016 - Less Wrong
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Matrix multiplication
Could somebody explain to me, in a way I'd actually understand, how to (remember how to) go about multiplying a pair of matrixes? I've looked at Wikipedia, I've read linear algebra books up to where they supposedly explain matrixes, and I keep bouncing up against a mental wall where I can't seem to remember how to figure out how to get the answer.
It's a 50-50 arbitrary convention.
I suggest physically tracing through the matrices with one finger from each hand. As you would multiply If you do it the right way enough times, doing it the wrong way will feel weird.
Also, the canonical example is y=Ax, with A a matrix, and x,y as vertical vectors. If you can at least remember that one goes vertically, and one horizontally, Ax will show that it is the one on the right that goes vertically.