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What am i missing?

Im not saying this is a glitch and I do not want to start a debate like
the one about why the square root of x squared is not x on
Mathematicabut my question is this: Why does Mathematica square each
individual element in a matrix when I say [A]^2 . For instance, I have
an n x n matrix [A] filled with random numbers. Should'nt {A]^2  be the
same as [A].[A] instead of squaring each component of the matrix (which
is what Mathematica does when you say A^2).There must be a reason why
Wolfram did this and I am not exactly a seasoned mathematician so could
someone explain?

Ray Pendergraph
appeal at

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