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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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votes
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answer
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views
Largest subset not spanning the span
Let $S=\{c_1,\dots,c_n\}$ be a set of vectors in $\mathbb{R}^M$. Is the below problem studied in literature?
$$\max\limits_{S'\subset S} \vert S' \vert $$
$$s.t. dim(span(S')) < dim(span(S))$$
which …