Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution. 3x₁7x₂ + 2x3 = -8 - 9x₁ + 21x2 - 6x3 = 26 6x₁14x2 + 4x3 = - 19 An echelon form for the coefficient matrix is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution.
3x₁7x2 + 2x3 = -8
- 9x₁ + 21x2 - 6x3 = 26
6x₁14x2 + 4x3 = - 19
An echelon form for the coefficient matrix is
Transcribed Image Text:Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then solve the system by back substitution. 3x₁7x2 + 2x3 = -8 - 9x₁ + 21x2 - 6x3 = 26 6x₁14x2 + 4x3 = - 19 An echelon form for the coefficient matrix is
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