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List five vectors in Span {v1, v2}. For each vector, show
Chapter 1, Problem 16E(choose chapter or problem)
List five vectors in Span \(\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}\). For each vector, show the weights on \(\mathbf{v}_1\) and \(\mathbf{v}_{2}\) used to generate the vector and list the three entries of the vector. Do not make a sketch.
\(\mathbf{v}_{1}=\left[\begin{array}{l}3 \\ 0 \\ 2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}-2 \\ 0 \\ 3\end{array}\right]\)
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QUESTION:
List five vectors in Span \(\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}\). For each vector, show the weights on \(\mathbf{v}_1\) and \(\mathbf{v}_{2}\) used to generate the vector and list the three entries of the vector. Do not make a sketch.
\(\mathbf{v}_{1}=\left[\begin{array}{l}3 \\ 0 \\ 2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}-2 \\ 0 \\ 3\end{array}\right]\)
ANSWER:Step 1 of 7
Given that
\({{\rm{v}}_{\rm{1}}} = \left[ {\begin{array}{*{20}{c}} 3\\ 0\\ 2 \end{array}} \right], {{\rm{v}}_{\rm{2}}} = \left[ {\begin{array}{*{20}{c}} { - 2}\\ 0\\ 3 \end{array}} \right]\)
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