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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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Maximal rank solution to $W^+Y = W^+WX$

Let $X \in \mathbb{R}^{a \times n}$ and $Y \in \mathbb{R}^{b \times n}$. How can we find a matrix $W \in \mathbb{R}^{b \times a}$ of maximal rank, such that $$W^+Y = W^+WX$$ (or alternatively, $WW^+Y …
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