If I know rectangular matrices $H,S$ of size $NxM$ where $M >> N$, also I know that $HS^T=I$ and $rank(H)=rank(S)=N$. Is there an efficient way to find matrix $X$ such that $XH=I$? Or at least solve equation $Hx=y$ for $x$, such that $HS^T=I$
2026-03-27 20:12:57.1774642377
Solution of underdetermined linear system with additional constraints
228 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LINEAR-ALGEBRA
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