There are two $n$-components column vectors $u$ and $v$. $I_n$ is the $n\times n$ identity matrix. Find the inverse of $I_n – uv^T$.
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What have you tried? – Robert Z Nov 05 '18 at 12:19
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I haven't got any idea of how to solve it. I've tried to use Gauss Elimination, but I failed. – BobAnkh Nov 05 '18 at 12:25
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2See Sherman-Morrison formula. Highly likely that variants of this has been answered several times on this site. – StubbornAtom Nov 05 '18 at 12:35