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
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)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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