Linear Algebra Quiz
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VECTOR SPACES & SUBSPACES
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Let B={[101],[011],[110]}\mathcal{B} = \left\{ \begin{bmatrix} 1 \\ 0 \\ 1 \end{bmatrix}, \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix} \right\} be a basis for R3\mathbb{R}^3. If a vector v\mathbf{v} has the coordinate vector [v]B=[2−13][\mathbf{v}]_\mathcal{B} = \begin{bmatrix} 2 \\ -1 \\ 3 \end{bmatrix}, what is the vector v\mathbf{v} in the standard basis?
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