1. 4x + 2y +z = 11 -x + 2y 3 2x + y + 4z 16

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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1.
4x + 2y + z = 11
-x + 2y = 3
2x + y+ 4z = 16
%3D
2. 14x, + 2x, + 4x3 -10
16x, + 40x, - 4x3 55
-2x, + 4x, - 16x3 -38
%3D
%3D
• For both problems, solve using
• Inverse Method
• Gaussian Elimination
• Gauss Jordan
• L-U Decomposition Method
Transcribed Image Text:1. 4x + 2y + z = 11 -x + 2y = 3 2x + y+ 4z = 16 %3D 2. 14x, + 2x, + 4x3 -10 16x, + 40x, - 4x3 55 -2x, + 4x, - 16x3 -38 %3D %3D • For both problems, solve using • Inverse Method • Gaussian Elimination • Gauss Jordan • L-U Decomposition Method
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