Let's say we have matrix A and matrix B. We want to calculate AB. Write down the two matrices side-by-side. Then move matrix A down. Now write your answer in the space at the bottom right. I think the next step is self-explanatory from the picture below, but read the original blog post for a full explanation.
And - on the subject of matrices - this made me chuckle:
this is one of the most helpful things I've ever seen. thank you
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