Explanation Procedure used: The system of equations is solved by using the Gaussian elimination method. 1. Write the augmented matrix for the system. 2. Make first element of the matrix equals to one. 3. Simplify the matrix to row-echelon form, with 1’s down the main diagonal, zeros below the 1’s. Calculation: Consider the system of equations, { x − 2 y − z = − 5 2 x − 3 y − z = 0 3 x − 4 y − z = 1 The augmented matrix is constructed as below, [ 1 − 2 − 1 − 5 2 − 3 − 1 0 3 − 4 − 1 1 ] Apply ( R 1 → R 3 ) to the above matrix. [ 3 − 4 − 1 1 2 − 3 − 1 0 1 − 2 − 1 − 5 ] Apply ( R 2 → R 2 − 2 3 R 1 ) to the above matrix. [ 3 − 4 − 1 1 0 − 1 3 − 1 3 − 2 3 1 − 2 − 1 − 5 ] Apply ( R 3 → R 3 − 1 3 R 1 ) to the above matrix. [ 3 − 4 − 1 1 0 − 1 3 − 1 3 − 2 3 0 − 2 3 − 2 3 − 16 3 ] Apply ( R 2 ↔ R 3 ) to the above matrix. [ 3 − 4 − 1 1 0 − 2 3 − 2 3 − 16 3 0 − 1 3 − 1 3 − 2 3 ] Apply ( R 3 → R 3 − 1 2 R 2 ) to the above matrix. [ 3 − 4 − 1 1 0 − 2 3 − 2 3 − 16 3 0 0 0 2 ] Apply ( R 3 → 1 2 R 3 ) to the above matrix

4th Edition

ISBN: 9780321833655

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 6.2, Problem 1CP

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To solve: The complete solution to the system of equations by using the Gaussian elimination.

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Chapter 6.1, Problem 70E

Chapter 6.2, Problem 2CP

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Chapter 6 Solutions

College Algebra Essentials

Ch. 6.1 - Prob. 1CP Ch. 6.1 - Prob. 2CP Ch. 6.1 - Prob. 3CP Ch. 6.1 - Prob. 4CP Ch. 6.1 - Prob. 1CVC Ch. 6.1 - Prob. 2CVC Ch. 6.1 - Prob. 3CVC Ch. 6.1 - Prob. 4CVC Ch. 6.1 - Prob. 5CVC Ch. 6.1 - Prob. 6CVC

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Write a system of linear equations in three or...Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.1 - Prob. 61E Ch. 6.1 - Prob. 62E Ch. 6.1 - Prob. 63E Ch. 6.1 - Prob. 64E Ch. 6.1 - Prob. 65E Ch. 6.1 - Prob. 66E Ch. 6.1 - The table shows the daily production level and...Ch. 6.1 - Prob. 68E Ch. 6.1 - Prob. 69E Ch. 6.1 - Prob. 70E Ch. 6.2 - Prob. 1CP Ch. 6.2 - Prob. 2CP Ch. 6.2 - Prob. 3CP Ch. 6.2 - Prob. 4CP Ch. 6.2 - Prob. 1CVC Ch. 6.2 - Prob. 2CVC Ch. 6.2 - Prob. 3CVC Ch. 6.2 - Prob. 4CVC Ch. 6.2 - Prob. 5CVC Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - Prob. 9E Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - Prob. 14E Ch. 6.2 - Prob. 15E Ch. 6.2 - Prob. 16E Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - Prob. 25E Ch. 6.2 - Prob. 26E Ch. 6.2 - Prob. 27E Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - Prob. 34E Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - Prob. 43E Ch. 6.2 - Prob. 44E Ch. 6.2 - Prob. 45E Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.3 - Prob. 1CP Ch. 6.3 - Prob. 2CP Ch. 6.3 - Prob. 3CP Ch. 6.3 - Prob. 4CP Ch. 6.3 - Prob. 5CP Ch. 6.3 - Prob. 6CP Ch. 6.3 - Prob. 7CP Ch. 6.3 - Prob. 8CP Ch. 6.3 - Prob. 9CP Ch. 6.3 - Prob. 1CVC Ch. 6.3 - Prob. 2CVC Ch. 6.3 - Prob. 3CVC Ch. 6.3 - Prob. 4CVC Ch. 6.3 - Prob. 5CVC Ch. 6.3 - Prob. 6CVC Ch. 6.3 - Prob. 7CVC Ch. 6.3 - Prob. 8CVC Ch. 6.3 - Prob. 9CVC Ch. 6.3 - Prob. 10CVC Ch. 6.3 - Prob. 1E Ch. 6.3 - Prob. 2E Ch. 6.3 - Prob. 3E Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Prob. 15E Ch. 6.3 - Prob. 16E Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Prob. 19E Ch. 6.3 - Prob. 20E Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - Prob. 25E Ch. 6.3 - Prob. 26E Ch. 6.3 - Prob. 27E Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Prob. 31E Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Prob. 39E Ch. 6.3 - Prob. 40E Ch. 6.3 - Prob. 41E Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - Prob. 53E Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.3 - Prob. 63E Ch. 6.3 - Prob. 64E Ch. 6.3 - Prob. 65E Ch. 6.3 - Prob. 66E Ch. 6.3 - Prob. 67E Ch. 6.3 - Prob. 68E Ch. 6.3 - Prob. 69E Ch. 6.3 - Prob. 70E Ch. 6.3 - Prob. 71E Ch. 6.3 - Prob. 72E Ch. 6.3 - Prob. 73E Ch. 6.3 - Prob. 74E Ch. 6.3 - Prob. 75E Ch. 6.3 - Prob. 77E Ch. 6.3 - Prob. 78E Ch. 6.3 - Make Sense? 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