I wonder how can I prove
A matrix $A_(mxn)$ with $m \lt n$ has no left inverse and a matrix $A_(mxn)$ with $m \gt n$ has no right inverse
Because I got no idea about that
2026-04-08 18:10:11.1775671811
Prove that an mxn matrix with m<n has no left inverse, similarly an mxn martix with m>n has no right inverse
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Hints:
Immediate from interpretation of rank as number of pivots in RREF form of matrix
See this question
Immediate from interpretation of rank as number of pivots in RREF form of matrix