his is practice not a homework assignment
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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this is practice not a homework assignment
![The matrix given is in reduced echelon form:
\[
\begin{bmatrix}
1 & 0 & 5 & 0 & 3 & \vert & 4 \\
0 & 1 & -1 & 0 & 5 & \vert & 8 \\
0 & 0 & 0 & 1 & 4 & \vert & 5 \\
\end{bmatrix}
\]
Write the system of equations represented by the matrix. (Use x as your variable and label each x with its corresponding column. Enter \( x_1 \) for \( x_1 \), \( x_2 \) for \( x_2 \), \( x_3 \) for \( x_3 \), \( x_4 \) for \( x_4 \), and \( x_5 \) for \( x_5 \).)
- **Row 1:** \( x_1 + 5x_3 + 3x_5 = 4 \) ✓
- **Row 2:** \( x_2 - x_3 + 5x_5 = 8 \) ✓
- **Row 3:** \( x_4 + 4x_5 = 5 \) ✓
Find the solution, if possible. (If there are infinitely many solutions, express \( x_1, x_2, x_3, x_4, \) and \( x_5 \) in terms of the parameters \( s \) and \( t \). If there is no solution, enter NO SOLUTION.)
\[
(x_1, x_2, x_3, x_4, x_5) = (\ \ \ \ )
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bca9fbe-c7b8-42a8-9abb-1ab27e9c4208%2F745d3392-e997-4f80-bc55-4f3bc16ccdb9%2F9vgd6zq_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix given is in reduced echelon form:
\[
\begin{bmatrix}
1 & 0 & 5 & 0 & 3 & \vert & 4 \\
0 & 1 & -1 & 0 & 5 & \vert & 8 \\
0 & 0 & 0 & 1 & 4 & \vert & 5 \\
\end{bmatrix}
\]
Write the system of equations represented by the matrix. (Use x as your variable and label each x with its corresponding column. Enter \( x_1 \) for \( x_1 \), \( x_2 \) for \( x_2 \), \( x_3 \) for \( x_3 \), \( x_4 \) for \( x_4 \), and \( x_5 \) for \( x_5 \).)
- **Row 1:** \( x_1 + 5x_3 + 3x_5 = 4 \) ✓
- **Row 2:** \( x_2 - x_3 + 5x_5 = 8 \) ✓
- **Row 3:** \( x_4 + 4x_5 = 5 \) ✓
Find the solution, if possible. (If there are infinitely many solutions, express \( x_1, x_2, x_3, x_4, \) and \( x_5 \) in terms of the parameters \( s \) and \( t \). If there is no solution, enter NO SOLUTION.)
\[
(x_1, x_2, x_3, x_4, x_5) = (\ \ \ \ )
\]
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