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Example 12.13. Find all the basic solutions of the following system of equations iden- tifying in each case the basic and non-basic variables : 2x, + x, + 4x3 = 11, 3x, + x, + 5x, = 14. %3D Investigate whether the basic solutions are degenerate basic solutions or not. Hence find the basic-feasible solution of the system:

Example 12.13. Find all the basic solutions of the following system of equations iden- tifying in each case the basic and non-basic variables : 2x, + x, + 4x3 = 11, 3x, + x, + 5x, = 14. %3D Investigate whether the basic solutions are degenerate basic solutions or not. Hence find the basic-feasible solution of the system:

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 4CC: For a system of two linear equations in two variables, aHow many solutions are possible? bWhat is...
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IExample 12.13. Find all the basic solutions of the following system of equations iden- tifying in each case the basic and non-basic variables : 2x, + x, + 4x, = 11, 3x, + x, + 5x, = 14. %3D Investigate whether the basic solutions are degenerate basic solutions or not. Hence find the basic-feasible solution of the system.
Transcribed Image Text:IExample 12.13. Find all the basic solutions of the following system of equations iden- tifying in each case the basic and non-basic variables : 2x, + x, + 4x, = 11, 3x, + x, + 5x, = 14. %3D Investigate whether the basic solutions are degenerate basic solutions or not. Hence find the basic-feasible solution of the system.
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