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(a) Explain how Gaussian elimination works. (b) Use Gaussian elimination to put the following system in triangular form, and then solve the system. System Triangular form { x + y − 2 z = 3 x + 2 y + z = 5 3 x − y + 5 z = 1 }

(a) Explain how Gaussian elimination works. (b) Use Gaussian elimination to put the following system in triangular form, and then solve the system. System Triangular form { x + y − 2 z = 3 x + 2 y + z = 5 3 x − y + 5 z = 1 }

Solution Summary: The author explains the Gaussian elimination and how to convert the given system into a triangular system.

College Algebra

College Algebra

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Textbook Question

Chapter 5, Problem 6CC

(a) Explain how Gaussian elimination works.
(b) Use Gaussian elimination to put the following system in triangular form, and then solve the system.

System Triangular form
{ x + y − 2 z = 3 x + 2 y + z = 5 3 x − y + 5 z = 1 }

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Chapter 5, Problem 5CC

Chapter 5, Problem 7CC

Chapter 5 Solutions

College Algebra

Ch. 5.1 - The system of equations {2x+3y=75xy=9} is a system...Ch. 5.1 - A system of equation in two variable can be solved...Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...

Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Graphical Method Two equations and their graphs...Ch. 5.1 - Graphical Method Two equations and their graphs...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Prob. 20E Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - Value of coin A man has 14 coins in his pocket,...Ch. 5.1 - Admission Fees The admission fee at an amusement...Ch. 5.1 - Gas Station A gas Station sells regular gas for...Ch. 5.1 - Prob. 64E Ch. 5.1 - Airplane Speed A man flies a small airplane from...Ch. 5.1 - Prob. 66E Ch. 5.1 - Nutrition A researcher performs an experiment to...Ch. 5.1 - Prob. 68E Ch. 5.1 - Prob. 69E Ch. 5.1 - Mixture problem A biologist has two brine...Ch. 5.1 - Prob. 71E Ch. 5.1 - Investments A man invests his savings in two...Ch. 5.1 - Prob. 73E Ch. 5.1 - Aerobic exercise a woman is spitfire by cycling...Ch. 5.1 - Prob. 75E Ch. 5.1 - Prob. 76E Ch. 5.1 - Prob. 77E Ch. 5.2 - These exercises refer to the following system: If...Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Triangular system Use back Substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular Systems Use back-substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular Systems Use Back substitution to solve...Ch. 5.2 - Eliminating a variable Perform an operation on the...Ch. 5.2 - Eliminating a variable perform and operation on...Ch. 5.2 - Eliminating a variable perform an operation on the...Ch. 5.2 - Eliminating a variable Perform an operation on the...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.2 - Financial Planning Mark has $100,000 to invest....Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Prob. 43E Ch. 5.2 - Diet Program Nicole started a new diet that...Ch. 5.2 - Prob. 45E Ch. 5.2 - Prob. 46E Ch. 5.2 - Prob. 47E Ch. 5.2 - Prob. 48E Ch. 5.2 - Prob. 49E Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - Prob. 33E Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E Ch. 5.3 - Prob. 39E Ch. 5.3 - Prob. 40E Ch. 5.3 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 44E Ch. 5.3 - Prob. 45E Ch. 5.3 - Prob. 46E Ch. 5.3 - Prob. 47E Ch. 5.3 - Prob. 48E Ch. 5.4 - The system of equations {2yx2=0yx=4} Is graph...Ch. 5.4 - The system of equations {2yx2=0yx=4} Is graphed...Ch. 5.4 - Substitutions method Use the substitution method...Ch. 5.4 - Substitution method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Solving Nonlinear system Find all solutions of the...Ch. 5.4 - Prob. 28E Ch. 5.4 - Prob. 29E Ch. 5.4 - Prob. 30E Ch. 5.4 - Prob. 31E Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - Prob. 34E Ch. 5.4 - Prob. 35E Ch. 5.4 - Prob. 36E Ch. 5.4 - Prob. 37E Ch. 5.4 - Prob. 38E Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Prob. 41E Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Prob. 45E Ch. 5.4 - Prob. 46E Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.5 - Prob. 1E Ch. 5.5 - To graph an inequality, we first graph the...Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - Prob. 6E Ch. 5.5 - Prob. 7E Ch. 5.5 - Prob. 8E Ch. 5.5 - Prob. 9E Ch. 5.5 - Prob. 10E Ch. 5.5 - Prob. 11E Ch. 5.5 - Graphing Inequalities Graph the inequality x1 Ch. 5.5 - Graphing Inequalities Graph the inequality x2 Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Prob. 23E Ch. 5.5 - Graphing inequalities Use a Graphing calculator to...Ch. 5.5 - Graphing inequalities Use a Graphing calculator to...Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Systems of Inequalities Graph the solutions set of...Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Systems of Inequalities Graph the solutions set of...Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - Prob. 65E Ch. 5.5 - Prob. 66E Ch. 5.5 - Prob. 67E Ch. 5.5 - Graphing Systems in inequalities Use a graphing...Ch. 5.5 - Prob. 69E Ch. 5.5 - Prob. 70E Ch. 5.5 - Prob. 71E Ch. 5.5 - Prob. 72E Ch. 5.5 - Coffee Blends A coffee merchant sells two...Ch. 5.5 - Prob. 74E Ch. 5.5 - Discuss Shading unwanted regions to graph the...Ch. 5 - Prob. 1CC Ch. 5 - Prob. 2CC Ch. 5 - Prob. 3CC Ch. 5 - Prob. 4CC Ch. 5 - Prob. 5CC Ch. 5 - (a) Explain how Gaussian elimination works. (b)...Ch. 5 - (a) How do we express a rational function r as a...Ch. 5 - Prob. 8CC Ch. 5 - (a) How do we graph the solution set of a system...Ch. 5 - Prob. 1E Ch. 5 - Systems Of linear Equations in two Variables Solve...Ch. 5 - Prob. 3E Ch. 5 - Prob. 4E Ch. 5 - Prob. 5E Ch. 5 - Prob. 6E Ch. 5 - Prob. 7E Ch. 5 - Prob. 8E Ch. 5 - Prob. 9E Ch. 5 - Prob. 10E Ch. 5 - Prob. 11E Ch. 5 - Prob. 12E Ch. 5 - Prob. 13E Ch. 5 - Prob. 14E Ch. 5 - Prob. 15E Ch. 5 - Prob. 16E Ch. 5 - Prob. 17E Ch. 5 - Prob. 18E Ch. 5 - Prob. 19E Ch. 5 - Prob. 20E Ch. 5 - Prob. 21E Ch. 5 - Prob. 22E Ch. 5 - Prob. 23E Ch. 5 - Prob. 24E Ch. 5 - Prob. 25E Ch. 5 - Prob. 26E Ch. 5 - Prob. 27E Ch. 5 - Prob. 28E Ch. 5 - Prob. 29E Ch. 5 - Prob. 30E Ch. 5 - Prob. 31E Ch. 5 - Prob. 32E Ch. 5 - Prob. 33E Ch. 5 - Prob. 34E Ch. 5 - Prob. 35E Ch. 5 - Prob. 36E Ch. 5 - Prob. 37E Ch. 5 - Prob. 38E Ch. 5 - Prob. 39E Ch. 5 - Prob. 40E Ch. 5 - Prob. 41E Ch. 5 - Prob. 42E Ch. 5 - Prob. 43E Ch. 5 - Prob. 44E Ch. 5 - Prob. 45E Ch. 5 - Graphing Inequalities Graph the inequality xy24 Ch. 5 - Prob. 47E Ch. 5 - Prob. 48E Ch. 5 - Prob. 49E Ch. 5 - Prob. 50E Ch. 5 - Prob. 51E Ch. 5 - Prob. 52E Ch. 5 - Prob. 53E Ch. 5 - Prob. 54E Ch. 5 - Prob. 55E Ch. 5 - Prob. 56E Ch. 5 - Prob. 57E Ch. 5 - General System of equations for what Values of k...Ch. 5 - A system of equations if given. (a) Determine...Ch. 5 - A system of equation is given. (a) Determine...Ch. 5 - Prob. 3T Ch. 5 - Prob. 4T Ch. 5 - Prob. 5T Ch. 5 - Prob. 6T Ch. 5 - Prob. 7T Ch. 5 - Prob. 8T Ch. 5 - Prob. 9T Ch. 5 - Prob. 10T Ch. 5 - Prob. 11T Ch. 5 - Prob. 12T Ch. 5 - Prob. 13T Ch. 5 - Prob. 14T Ch. 5 - Prob. 15T Ch. 5 - Prob. 1P Ch. 5 - Prob. 2P Ch. 5 - Find the maximum and minimum values of the given...Ch. 5 - Prob. 4P Ch. 5 - Prob. 5P Ch. 5 - Prob. 6P Ch. 5 - Prob. 7P Ch. 5 - Manufacturing Calculators A manufacturer of...Ch. 5 - Prob. 9P Ch. 5 - Prob. 10P Ch. 5 - Prob. 11P Ch. 5 - Feeding Lab Rabbits A biologist wishes to feed...Ch. 5 - Investing in Bonds A woman wishes to invest...Ch. 5 - Annual interest yield refer to problem 13 .suppose...Ch. 5 - Business Strategy A small software company...Ch. 5 - Feasible region all part of this problem refer to...

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