Question 4: Solve the following system of equations using the elimination method. Apply operations that respect equivalency until you have a linear system that can be solved with a back-substitution. Operations and intermediate systems should be clearly stated. -x1 + 2x2 – 2x3 + 3x4 = 1 2x1 – 2x2 + 3x3 – 4x4 = 1 - Xị – x2 + x3 – X4 = -1 -2x1 + 3x2 – 3x3 + 3x4 = 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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Question 4: Solve the following system of equations using the elimination method. Apply
operations that respect equivalency until you have a linear system that can be solved with a
back-substitution. Operations and intermediate systems should be clearly stated.
-x1 + 2x2 – 2x3 + 3x4
= 1
2x1 – 2x2 + 3x3 – 4x4
= 1
-
Xị – x2 + x3 – X4
= -1
-2x1 + 3x2 – 3x3 + 3x4 = 4
Transcribed Image Text:Question 4: Solve the following system of equations using the elimination method. Apply operations that respect equivalency until you have a linear system that can be solved with a back-substitution. Operations and intermediate systems should be clearly stated. -x1 + 2x2 – 2x3 + 3x4 = 1 2x1 – 2x2 + 3x3 – 4x4 = 1 - Xị – x2 + x3 – X4 = -1 -2x1 + 3x2 – 3x3 + 3x4 = 4
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