A matrix X has a+b rows and a+2 columns ...

A matrix `X` has `a+b` rows and `a+2` columns while the matrix `Y` has `b+1` rows and `a+3` columns. Both matrices `X Y` and `Y X` exist. Find `a` and `b` . Can you say `X Y` and `Y X` are of the same type? Are they equal.

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The correct Answer is:

`a=2,b=3;"NO.;NO."`

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