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I've seen both versions for representing the number of rows by the number of columns of a matrix. I've always used $n \times m$, but I feel like I more often see $m \times n$. Is there some well known standard that people typically follow?

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    When the decision is arbitrary alphabetical order is more common. I hesitate to call any notation standard. – CyclotomicField Mar 09 '21 at 19:24
  • Maybe I should use $m*n$ with the order in accordance with the alphabetical order – pawel Mar 09 '21 at 19:25
  • @CyclotomicField I shouldn't have standard because I know there isn't a standard (otherwise would've found it on Google). I just feel that I see $m \times n$ more often probably for the reason you state. I don't know why I adopted the reverse ABC order notation. – student010101 Mar 09 '21 at 19:27

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I always use $r\times c$ personally. It stops the confusion!

JMP
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When one needs to represent a (single) natural number, "$n$" seems to be a pretty common choice. If another integer variable is needed, lots of people would choose "$m$". Since "$n$" came first, it might be sensible to use $n\times m$.

The same dilemma takes place when dealing with parameters for curves, as "$t$" (for time) is a natural first choice, "$s$" coming in second place.

Ruy
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