Why multiply the rows of the first matrix by the columns of the second matrix?

Asked Sep 04 '20 at 13:55

Active Sep 04 '20 at 14:20

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I want to dig deep in linear algebra and I'm looking for an explanation on why we multiply rows by columns to achieve a transformation where did that approach came from ? Matrix multiplication

edited Sep 04 '20 at 14:20

Bernard

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asked Sep 04 '20 at 13:55

medamin

2

This is to be consistent with the composition of linear transformations. – TheSilverDoe Sep 04 '20 at 13:59
This post has plenty of in-depth answers. – Phil Sep 04 '20 at 14:03
This video is very good at explaining the concept https://www.youtube.com/watch?v=XkY2DOUCWMU. It might be useful to watch the whole series if you're not so sure on the intuition behind linear algebra – Joz Sep 04 '20 at 14:21

Why multiply the rows of the first matrix by the columns of the second matrix?

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