Solved: Find the projection of the vector v = [1 0 2]Tonto

Chapter 5, Problem 60

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Find the projection of the vector \(\mathbf{v}=\left[\begin{array}{lll}1  0  -2\end{array}\right]^{T}\) onto the subspace

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

Text Transcription:

v = [1  0  -2]^T

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