this post was submitted on 15 Mar 2025
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Science Memes

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[–] [email protected] 38 points 2 weeks ago* (last edited 2 weeks ago) (11 children)

Could one of you scholars please explain the joke for us smoothbrains who don't get it? All I see is a boolean matrix, and I'm not even sure that is correct.

[–] [email protected] 13 points 2 weeks ago* (last edited 2 weeks ago) (5 children)

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.

[–] [email protected] 5 points 2 weeks ago (2 children)

Wouldn't you need to put anyMatrix first, since matrix multiplication isn't commutative?

[–] [email protected] 3 points 2 weeks ago (1 children)

You are right. I will correct it.

[–] [email protected] 1 points 2 weeks ago* (last edited 2 weeks ago) (1 children)

No I just tried it and I was wrong, it seems like it doesn't matter for the ID matrix specifically

[–] [email protected] 1 points 2 weeks ago

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.

[–] [email protected] 1 points 2 weeks ago

Huh? Identity times anyMatrix is also anyMatrix. The matrix just has to have the right dimensions

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