this post was submitted on 15 Mar 2025
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That matrix of zeros with one in diagonal is called the matrix of identity.
It is famous because when doing multiplication on matrix or vector, it acts likes 1 on "normal" number:
x times 1 is x.
anyMatrix times Identity is anyMatrix.
Wouldn't you need to put
anyMatrixfirst, since matrix multiplication isn't commutative?You are right. I will correct it.
No I just tried it and I was wrong, it seems like it doesn't matter for the ID matrix specifically
I need to freshen up on my linear algebra. I don't remember on which sense it goes but I think if you swap the factors, you'll have to you transpose the matrix x to keep the same result.
Huh? Identity times anyMatrix is also anyMatrix. The matrix just has to have the right dimensions