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# Help hard quick

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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  vectors with integer components and magnitude no greater than 8 that satisfy

$$\mathbf{P} \mathbf{v} = \begin{pmatrix} 4 \\1 \end{pmatrix}$$