2t 6. Let H be the set of all vectors Show that H is a subspace of R³. What is the -t dimension of H?
2t 6. Let H be the set of all vectors Show that H is a subspace of R³. What is the -t dimension of H?
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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![6. Let \( H \) be the set of all vectors
\[
\begin{bmatrix}
2t \\
0 \\
-t
\end{bmatrix}
\]
Show that \( H \) is a subspace of \( \mathbb{R}^3 \). What is the dimension of \( H \)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2191ff5f-0867-4682-9559-0b1c4e7ecbac%2F9903e5c3-452f-4e6a-90fe-e32e7ed49210%2Faxnaw8_processed.png&w=3840&q=75)
Transcribed Image Text:6. Let \( H \) be the set of all vectors
\[
\begin{bmatrix}
2t \\
0 \\
-t
\end{bmatrix}
\]
Show that \( H \) is a subspace of \( \mathbb{R}^3 \). What is the dimension of \( H \)?
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