Solved: PROBLEM 18ELet a1 = For what value(s) of h is y in

Chapter 1, Problem 18E

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QUESTION:

Let \(\mathbf{v}_{1}=\left[\begin{array}{r}1 \\ 0 \\ -2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}-3 \\ 1 \\ 8\end{array}\right] \text {, and } \mathbf{y}=\left[\begin{array}{r} h \\ -5 \\ -3\end{array}\right]\). For what value(s) of h is y in the plane generated by \(\mathbf{v}_1\) and \(\mathbf{v}_2\)?

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QUESTION:

Let \(\mathbf{v}_{1}=\left[\begin{array}{r}1 \\ 0 \\ -2\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}-3 \\ 1 \\ 8\end{array}\right] \text {, and } \mathbf{y}=\left[\begin{array}{r} h \\ -5 \\ -3\end{array}\right]\). For what value(s) of h is y in the plane generated by \(\mathbf{v}_1\) and \(\mathbf{v}_2\)?

ANSWER:

Step 1 of 4

We need to find h so that y in the plane spanned by \(\mathbf{v}_1\) and \(\mathbf{v}_2\). 

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Review this written solution for 35968) viewed: 152 isbn: 9780321982384 | Linear Algebra And Its Applications - 5 Edition - Chapter 1.3 - Problem 18e

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