Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.3 Exercises - Page 33: 21

Answer

$u$ and $v$ are linearly independent

Work Step by Step

Because $u$ cannot be written as a scalar multiple of $v$, $u$ and $v$ are linearly independent. Given this, the span of $\{u, v\}$ is $\mathbb{R}$, so any vector $\begin{bmatrix}h\\k\end{bmatrix}$ will be in the span.
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