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Matrix/Array Simplification

Mathematica will happilly simplify scalar expressions such as

Simplify[a*x + a*y] = a*(x+y)

My question is: Is there a simple way to simplfy matrices in a similar way?

For example suppose you have the diagonal matrix
m = {{a x, 0}, {0, a y }}

can this matrix be simplified to the form

a * {{ x, 0}, {0,  y }}

Many thansk

Jon Palmer

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