I now know that inverses are only defined for square matrices. My question is: is this because inverses for non-square matrices do not exist, i.e. there is no (m by n) matrix A for which there exists an (n by m) matrix B such that both AB = I and BA = I is true?(adsbygoogle = window.adsbygoogle || []).push({});

Or is it just done for convenience? In this cases, can we indeed find a (m by n) matrix A for which there exists an (n by m) matrix B such that both AB = I and BA = I is true?

Thanks!

BiP

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# Non-square matrices and inverses

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