Linear Algebra Quiz
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LINEAR TRANSFORMATIONS
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Let W=span{v⃗1,v⃗2}W = \mathrm{span}\left\{ \vec{v}_1, \vec{v}_2 \right\}, where v⃗1=(110)\vec{v}_1 = \begin{pmatrix} 1 \\ 1 \\ 0 \end{pmatrix} and v⃗2=(101)\vec{v}_2 = \begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix}. Note that these basis vectors are not orthogonal. What is the orthogonal projection of y⃗=(220)\vec{y} = \begin{pmatrix} 2 \\ 2 \\ 0 \end{pmatrix} onto WW?
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