Matrix invertiblity and it's Inverse – math.stackexchange.com

I'd like to proof that the Matrix $L:={ M }^{ T }M$ is invertible and determine its inverse (in dependence of $A$ and $B$. $M:=\begin{pmatrix}A & B \\ 0_{q\times p}& I_q\end{pmatrix}$ and ...

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