Solved: List five vectors in Span {v1, v2}. For each

Chapter 1, Problem 15E

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QUESTION:

List five vectors in Span {\(\mathbf{v}_{1}, \mathbf{v}_{2}\)}. 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.

\(\mathbf{v}_1=\left[\begin{array}{r}7\\1\\-6\end{array}\right],\mathbf{v}_2=\left[\begin{array}{r}-5\\3\\0\end{array}\right]\)

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QUESTION:

List five vectors in Span {\(\mathbf{v}_{1}, \mathbf{v}_{2}\)}. 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.

\(\mathbf{v}_1=\left[\begin{array}{r}7\\1\\-6\end{array}\right],\mathbf{v}_2=\left[\begin{array}{r}-5\\3\\0\end{array}\right]\)

ANSWER:

Step 1 of 6

We have to  list five vectors in Span {v1, v2}.

For each vector, show the weights on   v1 and v2

Given that

       

 

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