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Solved: In Exercises 11 and 12, find the closest point to
Chapter 6, Problem 11E(choose chapter or problem)
QUESTION:
In Exercises 11 and 12, find the closest point to y in the subspace W spanned by \(v_1\) and \(v_2\).
\(\mathbf{y}=\left[\begin{array}{l}3 \\ 1 \\ 5 \\ 1\end{array}\right], \mathbf{v}_{1}=\left[\begin{array}{r}3 \\ 1 \\ -1 \\ 1\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}1 \\ -1 \\ 1 \\ -1\end{array}\right]\)
Questions & Answers
QUESTION:
In Exercises 11 and 12, find the closest point to y in the subspace W spanned by \(v_1\) and \(v_2\).
\(\mathbf{y}=\left[\begin{array}{l}3 \\ 1 \\ 5 \\ 1\end{array}\right], \mathbf{v}_{1}=\left[\begin{array}{r}3 \\ 1 \\ -1 \\ 1\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}1 \\ -1 \\ 1 \\ -1\end{array}\right]\)
ANSWER:Solutio