Answer
See solution
Work Step by Step
$\vec{v}=\begin{bmatrix}
1\\-1
\end{bmatrix}$ and $\vec{u}=\begin{bmatrix}
-1\\3
\end{bmatrix}$. $proj_uv=\frac{v\cdot u}{u\cdot u}u=-\frac{2}{5}u=\begin{bmatrix}
\frac{2}{5}\\\frac{-6}{5}
\end{bmatrix}$
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 6 - Orthogonality and Least Squares - 6.2 Exercises - Page 347: 12
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