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In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x₁ appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simul- taneously, perform the corresponding elementary row operations on the augmented matrix. 30. 2x1 + 3x2 = 6 4x₁ - x₂ = 7 32. x₂ + x3 =4 x1 - x2 + 2x3 = 1 2x1 + x2x3 = 6 31. x₁ + 2x2 x3 = 1 X₁ + x2 + 2x3 = 2 -2x1 + x₂ = 4 - 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x₂ = 6

In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x₁ appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simul- taneously, perform the corresponding elementary row operations on the augmented matrix. 30. 2x1 + 3x2 = 6 4x₁ - x₂ = 7 32. x₂ + x3 =4 x1 - x2 + 2x3 = 1 2x1 + x2x3 = 6 31. x₁ + 2x2 x3 = 1 X₁ + x2 + 2x3 = 2 -2x1 + x₂ = 4 - 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x₂ = 6

Advanced Engineering Mathematics
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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In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x₁ appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simul- taneously, perform the corresponding elementary row operations on the augmented matrix. 31. 30. 2x1 + 3x2 = 6 4x₁ - x₂ = 7 32. x₂ + x3 = 4 x1 - x2 + 2x3 = 1 2x1 + x2 x3 = 6 x₁ + 2x2x3 = 1 x₁ + x2 + 2x3 = 2 -2x1 + x₂ = 4 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x₂ = 6
Transcribed Image Text:In Exercises 30-36, display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x₁ appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simul- taneously, perform the corresponding elementary row operations on the augmented matrix. 31. 30. 2x1 + 3x2 = 6 4x₁ - x₂ = 7 32. x₂ + x3 = 4 x1 - x2 + 2x3 = 1 2x1 + x2 x3 = 6 x₁ + 2x2x3 = 1 x₁ + x2 + 2x3 = 2 -2x1 + x₂ = 4 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x₂ = 6
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