Let H be the set of all vectors of the form Find a vector v in R such that H = span {v}. -s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let \( H \) be the set of all vectors of the form 

\[
\begin{bmatrix}
-s \\
-s \\
-s
\end{bmatrix}
\]

Find a vector \( \vec{v} \) in \( \mathbb{R}^3 \) such that \( H = \text{span} \{\vec{v}\} \).

\[
\vec{v} = 
\begin{bmatrix}
\boxed{} \\
\boxed{} \\
\boxed{}
\end{bmatrix}
\]
Transcribed Image Text:Let \( H \) be the set of all vectors of the form \[ \begin{bmatrix} -s \\ -s \\ -s \end{bmatrix} \] Find a vector \( \vec{v} \) in \( \mathbb{R}^3 \) such that \( H = \text{span} \{\vec{v}\} \). \[ \vec{v} = \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} \]
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