1. Write down the augmented matrix of the system, be sure to use the correct notation (A|B). 2. At each step, write clearly what row operation you are using (for example, R2 → R2 + 5R1). Apply the elimination method until you get to a final form for the augmented matrix. 3. Check your final solution in the original system, to make sure there are no algebra mistakes. 4. Finish with a clear conclusion: our system has a unique solution, namely x = 1, y = 2, z = -5, or our system has no solution. 1. Use the augmented matrix method and Gauss Elimination with Back Substitution to solve the following systems of equations. are used at each step, and don't forget to check your solution. Be sure to specify which elementary row operations х+ Зу — 11 Зх — y = 1
1. Write down the augmented matrix of the system, be sure to use the correct notation (A|B). 2. At each step, write clearly what row operation you are using (for example, R2 → R2 + 5R1). Apply the elimination method until you get to a final form for the augmented matrix. 3. Check your final solution in the original system, to make sure there are no algebra mistakes. 4. Finish with a clear conclusion: our system has a unique solution, namely x = 1, y = 2, z = -5, or our system has no solution. 1. Use the augmented matrix method and Gauss Elimination with Back Substitution to solve the following systems of equations. are used at each step, and don't forget to check your solution. Be sure to specify which elementary row operations х+ Зу — 11 Зх — y = 1
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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Question
Use the augmented matrix method and Gauss Elimination with Back Substitution to solve the
following systems of equations. Do it by hand (no calculator)
*picture attached*
- Thank you !
Transcribed Image Text:1. Write down the augmented matrix of the system, be sure to use the correct notation (A|B).
2. At each step, write clearly what row operation you are using (for example, R2 → R2 + 5R1).
Apply the elimination method until you get to a final form for the augmented matrix.
3. Check your final solution in the original system, to make sure there are no algebra mistakes.
4. Finish with a clear conclusion: our system has a unique solution, namely x = 1, Y = 2, z = –5,
or our system has no solution.
1. Use the augmented matrix method and Gauss Elimination with Back Substitution to solve the
following systems of equations.
are used at each step, and don't forget to check your solution.
Be sure to specify which elementary row operations
x + 3y = 11
3x -
Y = 1
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