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# Consider the projection matrix P that satisfies

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Consider the projection matrix P that satisfies $$\mathbf{P} \mathbf{v} = \text{Projection of \mathbf{v} onto } \begin{pmatrix} 4 \\ 1 \end{pmatrix}.$$

Use the picture below to find 3 vectors with integer components and magnitude no greater than 8 that satisfy

Find $$\mathbf{P}^{-1} \begin{pmatrix} 4 \\1 \end{pmatrix}$$$$\mathbf{P} \mathbf{v} = \begin{pmatrix} 4 \\1 \end{pmatrix}.$$

Aug 6, 2019