It is common knowledge that a square matrix is singular iff its determinant is $0$. Can anything be said about a non-square matrix that does not have any left/right/both inverses?
2026-04-13 08:15:26.1776068126
What can be said about a non-square matrix that does not have any left/right/both inverses
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No left inverses $\iff$ not injective $\iff$ rank $<$ number of columns.
No right inverses $\iff$ not surjective $\iff$ rank $<$ number of rows.