Solved: Projection Onto a Subspace In Exercises 1720, find

Chapter 5, Problem 17

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Projection Onto a Subspace In Exercises 17 - 20, find the projection of the vector v onto the subspace S.

\(S=\operatorname{span}\left\{\left[\begin{array}{r}0 \\ 0 \\ -1 \\ 1\end{array}\right],\left[\begin{array}{l}0 \\ 1 \\ 1 \\ 1\end{array}\right]\right\}, \quad \mathbf{v}=\left[\begin{array}{l}1 \\ 0 \\ 1 \\ 1\end{array}\right]\)

Text Transcription:

S = span {[0 \\ 0 \\ -1 \\ 1], [0 \\ 1 \\ 1 \\ 1]},     v = [1 \\ 0 \\ 1 \\ 1]

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