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Are there two matrices $A_{m\times n}$, and $B_{n\times m}$ such that $A.B=I_{m}$ and $B.A=I_{n}$ (here $m\neq n$)

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    @William: See also: http://math.stackexchange.com/questions/17908/why-is-it-that-if-a-is-an-n-by-m-matrix-and-both-ba-and-ab-are-indentity-matrice2011-03-19

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