infinite Part 2 00000 Which of the following are arbitrary solutions? (Note: the first column represents u, the second column represents v, etc.) A. V B. W C. u D. Y E. Z F. C # Part 3

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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**Part 1**

The following system of equations is row reduced:

\[
\begin{bmatrix}
1 & 8 & 0 & 0 & -9 & 3 & \vert & -3 \\
0 & 0 & 1 & 0 & -1 & 6 & \vert & 9 \\
0 & 0 & 0 & 1 & 4 & -5 & \vert & -8 \\
\end{bmatrix}
\]

How many solutions does this system of equations have? (If it has an infinite number, write **infinite**).

**Answer: infinite**

---

**Part 2**

Which of the following are arbitrary solutions? (Note: the first column represents \( u \), the second column represents \( v \), etc.)

A. \( v \)  
B. \( w \)  
C. \( u \)  
D. \( y \)  
E. \( z \)  
F. \( x \)  

Check the appropriate box(es).
Transcribed Image Text:**Part 1** The following system of equations is row reduced: \[ \begin{bmatrix} 1 & 8 & 0 & 0 & -9 & 3 & \vert & -3 \\ 0 & 0 & 1 & 0 & -1 & 6 & \vert & 9 \\ 0 & 0 & 0 & 1 & 4 & -5 & \vert & -8 \\ \end{bmatrix} \] How many solutions does this system of equations have? (If it has an infinite number, write **infinite**). **Answer: infinite** --- **Part 2** Which of the following are arbitrary solutions? (Note: the first column represents \( u \), the second column represents \( v \), etc.) A. \( v \) B. \( w \) C. \( u \) D. \( y \) E. \( z \) F. \( x \) Check the appropriate box(es).
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