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Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is incosistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain?

Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is incosistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain?

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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2. Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is inconsistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain? (a) -x2 + 3x3 + 8x4 – 7x6 -3 7x1 + x2 – 2x3 – 10x4 + 2x5 – 3x6 -4 10x1 + 2x3 + 12x4 + 5x5 – 8x6 (b) -5x1 – 2x2 + 10.x3 + x4 + 7x5 + 2.x6 – 4x7 -3x1 + 3x2 – 2.x3 – x4 + 2xz + x6 + 3x7 3. %3| -8x1 + x2 + 8x3 + 9x5 + 3x6 – 17 X1 + 2x3 – 3x5 – 4.x6 + 2x7 -7x1 + x2 + 10x3 + 6x5 – x6 + x7 6. %3D 8 |||| || || || || ||||
Transcribed Image Text:2. Solve the following systems of linear equations by hand using the GJ elimination method. Use pivot elements of 1 or –1 as far as possible to avoid the occurrence of fractions. If the original system is inconsistent, obtain a solution to the alternate system in each case. How many solutions of the alternate system were you able to obtain? (a) -x2 + 3x3 + 8x4 – 7x6 -3 7x1 + x2 – 2x3 – 10x4 + 2x5 – 3x6 -4 10x1 + 2x3 + 12x4 + 5x5 – 8x6 (b) -5x1 – 2x2 + 10.x3 + x4 + 7x5 + 2.x6 – 4x7 -3x1 + 3x2 – 2.x3 – x4 + 2xz + x6 + 3x7 3. %3| -8x1 + x2 + 8x3 + 9x5 + 3x6 – 17 X1 + 2x3 – 3x5 – 4.x6 + 2x7 -7x1 + x2 + 10x3 + 6x5 – x6 + x7 6. %3D 8 |||| || || || || ||||
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