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

Find 3 vectors with integer components and magnitude no greater than 8 that satisfy Pv = $$\begin{pmatrix} 4 \\ 1 \end{pmatrix}$$.

Use this to help you find $$P^{-1}\begin{pmatrix} 4 \\ 1 \end{pmatrix}$$ .

Dec 30, 2019

#1
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You can take the vectors [3,4], [4,1], and [5,-2].

Dec 30, 2019
#2
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I tries this answer and it is incorrect. Thank you though.

Guest Dec 30, 2019