If A is not a square matrix, then A^2 is impossible? But why?

[edgy forum]

I am studying for my upcoming math exam, and I don’t really understand a specific concept. Which is A^2 isn't possible if A is not a square matrix.

[long spade]

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[errant mesa]

Do you know what the condition is to be able to multiply two matrix?

Regarding their dimensions?

[edgy forum]

I just took a look, and I understand now. The columns of the first A must equal the number of rows of second A

[errant mesa]

Right

[edgy forum]

Since A must be a square matrix to be equal to another A it means it's impossible.

[errant mesa]

What?

[edgy forum]

Sorry for the misunderstanding, I meant to say it's impossible to Multiply A and A if A itself isn't a square matrix

[inner geode]

Yes, since an m by n multiplied by a n by k will yield a m by k.

[crystal scarab]

@edgy forum

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