Exercise 4.10.34 Let H denote span H and determine a basis. -33 15 12 -36 10 8 -24 Find the dimension of
Exercise 4.10.34 Let H denote span H and determine a basis. -33 15 12 -36 10 8 -24 Find the dimension of
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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![**Exercise 4.10.34**
Let \( H \) denote the span
\[
\left\{
\begin{bmatrix}
-2 \\
1 \\
1 \\
-3
\end{bmatrix},
\begin{bmatrix}
-9 \\
4 \\
3 \\
-9
\end{bmatrix},
\begin{bmatrix}
-33 \\
15 \\
12 \\
-36
\end{bmatrix},
\begin{bmatrix}
-22 \\
10 \\
8 \\
-24
\end{bmatrix}
\right\}.
\]
Find the dimension of \( H \) and determine a basis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8f5e3d6-55b9-49b4-b3a6-fa76eb7ebbe0%2Fa6fc9a38-2d63-49b2-807c-cbd4b90ff43b%2Fvkpy8u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise 4.10.34**
Let \( H \) denote the span
\[
\left\{
\begin{bmatrix}
-2 \\
1 \\
1 \\
-3
\end{bmatrix},
\begin{bmatrix}
-9 \\
4 \\
3 \\
-9
\end{bmatrix},
\begin{bmatrix}
-33 \\
15 \\
12 \\
-36
\end{bmatrix},
\begin{bmatrix}
-22 \\
10 \\
8 \\
-24
\end{bmatrix}
\right\}.
\]
Find the dimension of \( H \) and determine a basis.
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