Exercise 5.9.2 Using Problem 5.9.1 find the general solution to the following linear system. 100-0 1 -2 1 3 -4 5 =
Exercise 5.9.2 Using Problem 5.9.1 find the general solution to the following linear system. 100-0 1 -2 1 3 -4 5 =
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 5.9.2 please
![**Exercise 5.9.1**
Write the solution set of the following system as a linear combination of vectors
\[
\begin{bmatrix}
1 & -1 & 2 \\
1 & -2 & 1 \\
3 & -4 & 5
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
0 \\
0 \\
0
\end{bmatrix}
\]
**Exercise 5.9.2**
Using Problem 5.9.1, find the general solution to the following linear system.
\[
\begin{bmatrix}
1 & -1 & 2 \\
1 & -2 & 1 \\
3 & -4 & 5
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
1 \\
2 \\
4
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc77db10-411b-4277-b72e-b2214a4cc0f7%2Ffaa2e502-f42e-45a2-b0db-f8b539289c77%2Fjml16s_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise 5.9.1**
Write the solution set of the following system as a linear combination of vectors
\[
\begin{bmatrix}
1 & -1 & 2 \\
1 & -2 & 1 \\
3 & -4 & 5
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
0 \\
0 \\
0
\end{bmatrix}
\]
**Exercise 5.9.2**
Using Problem 5.9.1, find the general solution to the following linear system.
\[
\begin{bmatrix}
1 & -1 & 2 \\
1 & -2 & 1 \\
3 & -4 & 5
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
1 \\
2 \\
4
\end{bmatrix}
\]
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