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
\(\mathbf{P} \mathbf{v} = \begin{pmatrix} 4 \\1 \end{pmatrix}\)
List your answers as columns in increasing order of x-component.
