Linear Algebra Quiz
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VECTOR SPACES & SUBSPACES
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The set S={(101),(011)}S = \{\begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix}, \begin{pmatrix} 0 \\ 1 \\ 1 \end{pmatrix}\} generates a plane WW in R3\mathbb{R}^3. Which of the following vectors v⃗\vec{v}, if added to SS, would create a new set that generates all of R3\mathbb{R}^3?
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