Consider this system of equations: x₁ + x₂ + x3 = 8 X1 - X2 X3 3x₁ + x₂ + x3 = 18 A. Write the corresponding augmented coefficient matrix. To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct matrix size. Add and/or delete column(s) and/or rows if needed. [(1,1,1,8),(1,-1,-1,2), (3,1,1,18)] ✔ C. The system of equations is consistent. ▼ Part 1 of 4 B. Use elementary row operations to write the augmented coefficient matrix in reduced row echelon form. To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct matrix size. Add and/or delete column(s) and/or rows if needed. [(1,0,0,5),(0,1,1,3),(0,0,0,0)] ✔ x1 = ▼ x2 = x3 = Part 2 of 4 ▼ D. Write the solution to the system. If there is more than one solution, use the parameter t to describe the solutions. If there is no solution, enter DNE in each answer box. Part 3 of 4 Part 4 of 4
Consider this system of equations: x₁ + x₂ + x3 = 8 X1 - X2 X3 3x₁ + x₂ + x3 = 18 A. Write the corresponding augmented coefficient matrix. To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct matrix size. Add and/or delete column(s) and/or rows if needed. [(1,1,1,8),(1,-1,-1,2), (3,1,1,18)] ✔ C. The system of equations is consistent. ▼ Part 1 of 4 B. Use elementary row operations to write the augmented coefficient matrix in reduced row echelon form. To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct matrix size. Add and/or delete column(s) and/or rows if needed. [(1,0,0,5),(0,1,1,3),(0,0,0,0)] ✔ x1 = ▼ x2 = x3 = Part 2 of 4 ▼ D. Write the solution to the system. If there is more than one solution, use the parameter t to describe the solutions. If there is no solution, enter DNE in each answer box. Part 3 of 4 Part 4 of 4
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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Homework 11: Question 6
Please help with part 4
![Consider this system of equations:
x₁ + x₂ + x3 = 8
X1 X2 X3 = 2
3x1 + x₂ + x3 = 18
A. Write the corresponding augmented coefficient matrix.
To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct
matrix size. Add and/or delete column(s) and/or rows if needed.
[(1,1,1,8),(1,-1,-1,2),(3,1,1,18)] ✔
B. Use elementary row operations to write the augmented coefficient matrix in reduced row echelon
form.
C. The system of equations is consistent.
To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct
matrix size. Add and/or delete column(s) and/or rows if needed.
[(1,0,0,5),(0,1,1,3), (0,0,0,0)] ✔
▼ Part 1 of 4
x1 =
x2 =
▼ Part 2 of 4
x3
||
D. Write the solution to the system. If there is more than one solution, use the parameter t to
describe the solutions. If there is no solution, enter DNE in each answer box.
▼
Part 3 of 4
Part 4 of 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9086a1c0-d376-4c80-871f-f484ad7b10c1%2F09d12460-3681-4548-9ae2-8856298da6dc%2F1dhg71u_processed.png&w=3840&q=75)
Transcribed Image Text:Consider this system of equations:
x₁ + x₂ + x3 = 8
X1 X2 X3 = 2
3x1 + x₂ + x3 = 18
A. Write the corresponding augmented coefficient matrix.
To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct
matrix size. Add and/or delete column(s) and/or rows if needed.
[(1,1,1,8),(1,-1,-1,2),(3,1,1,18)] ✔
B. Use elementary row operations to write the augmented coefficient matrix in reduced row echelon
form.
C. The system of equations is consistent.
To enter your answers, click in the answer box. Then choose the "Matrix" tab and select the correct
matrix size. Add and/or delete column(s) and/or rows if needed.
[(1,0,0,5),(0,1,1,3), (0,0,0,0)] ✔
▼ Part 1 of 4
x1 =
x2 =
▼ Part 2 of 4
x3
||
D. Write the solution to the system. If there is more than one solution, use the parameter t to
describe the solutions. If there is no solution, enter DNE in each answer box.
▼
Part 3 of 4
Part 4 of 4
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