Let H be the set of all vectors of the form Find a vector v in R such that H = span {v}. -s
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
Problem 1RQ
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Question
![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 \( H = \text{span} \{\vec{v}\} \).
\[
\vec{v} =
\begin{bmatrix}
\boxed{} \\
\boxed{} \\
\boxed{}
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2192a9f0-1ae9-4ed3-a35b-fc11f1172fc0%2F01b530d0-7e3f-4f43-9944-014a664f4b27%2Fgeqwi1am_processed.jpeg&w=3840&q=75)
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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