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Suppose you have a matrix $A$. Is there a "standard"/mathematical elegant way to denote all members of the matrix as a set?

So suppose there is a matrix $A = \left[ \begin{array}{cc} a & b \\ c & d \end{array} \right] $ then I would like to define $set(A) = \{ a,b,c,d \}$

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    @Pacciu: Of course; there are certainly situations where you want to keep track of them, possibly by mapping the matrices to vectors in some standard way; and it's certainly the case that sometimes people talk about "sets" and yet think that order is important, so it's good to bring it up, just in case.2011-03-29

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