Question 9. Solve the following systems of linear equations using Gauss elimination with back sub- stitution. (a) x₁ + x2 + x3 = 0 x₂ + x3 = 1 (c) 3x₁ +4x₂ = 1 I3 = 1 -X1- x₂ - 2x3 = 0 2x₁ + 3x₂ + x3 = 3 Question 10. Solve the following systems of linear equations using Gauss-Jordan elimination. (a) ₁+ ₂+ 3 = 3 2x1 + 3x₂ + x3 = 5 1 x₂ + 2x3 = -4 (c) x-y+2z = 3 (b) x₁ + 2x2 + 3x3 = 0 2x1x₂ + x3 = 0 2x1 + 3x2 + 4x3 = 0 2x - 2y + 5z = 4 x+2y-z = -3 2y + 2z = 1 (b) 2x₁4x₂ + 12x3 - 10x4 = 58 -x₁ + 2x₂ 3x3 + 2 x₁ = 58 2x14x2 +973 - 6 x₁ = 58

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 9. Solve the following systems of linear equations using Gauss elimination with back sub-
stitution.
(a) x₁ + x2 + x3 = 0
x₂ + x3 = 1
(c) 3x₁ +4x₂ = 1
I3 = 1
-X1-
x₂ - 2x3 = 0
2x₁ + 3x₂ + x3 = 3
Question 10. Solve the following systems of linear equations using Gauss-Jordan elimination.
(a) I₁+I₂+I3 = 3
2x1 + 3x₂ + x3 = 5
1 x₂ + 2x3 = -4
(c) x-y+2z = 3
(b) x₁ +2x2 + 3x3 = 0
2x1x₂ + x3 = 0
2x1 + 3x2 + 4x3 = 0
2x - 2y + 5z = 4
x+2y-z = -3
2y + 2z = 1
(b) 2x₁ - 4x₂ + 12x3 - 10x₁ = 58
-x₁ + 2x₂ 3 x3 + 2 x₁ = 58
2x14x2 +973 - 6 x₁ = 58
Transcribed Image Text:Question 9. Solve the following systems of linear equations using Gauss elimination with back sub- stitution. (a) x₁ + x2 + x3 = 0 x₂ + x3 = 1 (c) 3x₁ +4x₂ = 1 I3 = 1 -X1- x₂ - 2x3 = 0 2x₁ + 3x₂ + x3 = 3 Question 10. Solve the following systems of linear equations using Gauss-Jordan elimination. (a) I₁+I₂+I3 = 3 2x1 + 3x₂ + x3 = 5 1 x₂ + 2x3 = -4 (c) x-y+2z = 3 (b) x₁ +2x2 + 3x3 = 0 2x1x₂ + x3 = 0 2x1 + 3x2 + 4x3 = 0 2x - 2y + 5z = 4 x+2y-z = -3 2y + 2z = 1 (b) 2x₁ - 4x₂ + 12x3 - 10x₁ = 58 -x₁ + 2x₂ 3 x3 + 2 x₁ = 58 2x14x2 +973 - 6 x₁ = 58
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