What's the solution? −2x-3y=28 x+2y+3z=-8 −3x−1y−2z=15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
What's the solution?
−2x-3y=28
x+2y+3z=-8
−3x−1y−2z=15
![## Linear Algebra Problem Set
**Part 1:**
The following system of equations is row reduced.
\[
\begin{bmatrix}
1 & 8 & 0 & 0 & -9 & 3 & | & -3 \\
0 & 0 & 1 & 0 & -1 & 6 & | & 9 \\
0 & 0 & 0 & 1 & 4 & -5 & | & -8 \\
\end{bmatrix}
\]
**Question:**
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. \( x \)
---
**Part 3:**
Write the non-arbitrary parameters in terms of the arbitrary ones.
- \( u = \) [Input Field]
- \( w = \) [Input Field]
- \( x = \) [Input Field]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ed9e625-a543-4507-aa92-6706e5a9b371%2F6ac87d0d-989c-4943-a9f3-70bdced50476%2Fim21re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Linear Algebra Problem Set
**Part 1:**
The following system of equations is row reduced.
\[
\begin{bmatrix}
1 & 8 & 0 & 0 & -9 & 3 & | & -3 \\
0 & 0 & 1 & 0 & -1 & 6 & | & 9 \\
0 & 0 & 0 & 1 & 4 & -5 & | & -8 \\
\end{bmatrix}
\]
**Question:**
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. \( x \)
---
**Part 3:**
Write the non-arbitrary parameters in terms of the arbitrary ones.
- \( u = \) [Input Field]
- \( w = \) [Input Field]
- \( x = \) [Input Field]
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