Math Solutions

(See Solution) Verify that vecu_1, \vecu_2 is an orthogonal set, and then find the closest point to y in the Span vecu_1, \vecu_2. Show all work.

Question: Verify that \(\left\{\vec{u}_{1}, \vec{u}_{2}\right\}\) is an orthogonal set, and then find the closest point to \(y\) in the Span \(\left\{\vec{u}_{1}, \vec{u}_{2}\right\}\). Show all work.

\[\vec{y}=\left[\begin{array}{c} 6 \\ 3 \\ -2 \end{array}\right], \vec{u}_{1}=\left[\begin{array}{l} 3 \\ 4 \\ 0 \end{array}\right], \vec{u}_{2}=\left[\begin{array}{c} -4 \\ 3 \\ 0 \end{array}\right]\]

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