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. 34. 35. x₂ + x3 = 4 x₁ - x2 + 2x3 = 1 2x1 + x2x3 = 6 31. x₁ + 2x2x3 = 1 x₁ + x₂ + 2x3 = 2 -2x1 + x₂ = 4 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x2 = 6 x₁ + x2 + x3 x4 = 1 -x1 + x2-x3 + x4 = 3 -2x1 + x2 + x3 - X4 = 2 x2 + x3 x4 = 3 x₁ + 2x2x3 + x4 = 1 -x1 + x2 + 7x3 - X4 = 0
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. 34. 35. x₂ + x3 = 4 x₁ - x2 + 2x3 = 1 2x1 + x2x3 = 6 31. x₁ + 2x2x3 = 1 x₁ + x₂ + 2x3 = 2 -2x1 + x₂ = 4 33. x₁ + x₂ = 9 x1 - x₂ = 7 3x1 + x2 = 6 x₁ + x2 + x3 x4 = 1 -x1 + x2-x3 + x4 = 3 -2x1 + x2 + x3 - X4 = 2 x2 + x3 x4 = 3 x₁ + 2x2x3 + x4 = 1 -x1 + x2 + 7x3 - X4 = 0
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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Please solve q35 correctly and handwritten
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.
30. 2x1 + 3x2 = 6
4x1 - x₂ = 7
32.
34.
35.
31.
x2 + x3 = 4
x1 - x2 + 2x3 = 1
2x1 + x2x3 = 6
x₁ + x2 + x3 x4 = 1
-x1 + x2x3 + x4 = 3
-2x1 + x2 + x3 - X4 = 2
-
x₁ + 2x₂x3 = 1
x₁ + x₂ + 2x3 = 2
-2x1 + x₂
= 4
33. x₁ + x₂ = 9
x1 - x₂ = 7
3x1 + x₂ = 6
x2 + x3 x4 = 3
x1 + 2x2x3 + x4 = 1
-x1 + x2 + 7x3 x4 = 0
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