Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution. S c X₁ - 4x₂ + 5x3 = 27 2x₁ + x₂ + x3 = 9 - 3x₁ + 2x₂ - 2x3 = - 19 Show Transcribed Text An echelon form for the augmented coefficient matrix is There is a unique solution, x1=__, x2=__, x3=__.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 24E
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Q5:
Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by
back substitution.
X₁ - 4x₂ + 5x3 = 27
2x₁ + x₂ + x3 = 9
- 3x₁ + 2x₂ - 2x3 = -19
Show Transcribed Text
An echelon form for the augmented coefficient matrix is
There is a unique solution, x1=__, x2=__, x3=__.
Transcribed Image Text:Q5: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution. X₁ - 4x₂ + 5x3 = 27 2x₁ + x₂ + x3 = 9 - 3x₁ + 2x₂ - 2x3 = -19 Show Transcribed Text An echelon form for the augmented coefficient matrix is There is a unique solution, x1=__, x2=__, x3=__.
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