Explanation Given: The augmented matrix is [ 1 4 − 5 0 1 − 2 ] . Definition used: “A matrix is in row echelon form if, 1. The entry in row 1, column 1 is a 1 and 0s appear below it. 2. The first non-zero entry in each row below the first row is a 1, 0s appear below it, and it appears to the right of the first nonzero entry in any row above. 3. Any rows that contain all 0s to the left of the vertical bar appear at the bottom.” Calculation: First, write the system of equations for the given augmented matrix. The given augmented matrix consists of two rows, hence it represents a system of two equations. Since there are two columns to the left of the vertical bar, the system has two variables. That is, the variables are x and y . The system of equations is written as, { x + 4 y = − 5 y = − 2 Thus, the system of equations is { x + 4 y = − 5 y = − 2 . Consider the augmented matrix [ 1 4 − 5 0 1 − 2 ]

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter C.3, Problem 51E

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To write: The system of equations corresponding to the given augmented matrix and determine whether the system is consistent with independent solution or consistent with dependent solution. If consistent with independent solution obtain the solution.

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Chapter C.3, Problem 50E

Chapter C.3, Problem 52E

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Chapter C Solutions

Elementary & Intermediate Algebra

Ch. C.1 - A___ ___ ___ ___ is a grouping of two or more...Ch. C.1 - A____ of a system of equations consists of values...Ch. C.1 - Prob. 3E Ch. C.1 - Prob. 4E Ch. C.1 - Prob. 5E Ch. C.1 - True or False A system of two linear equations...Ch. C.1 - Prob. 7E Ch. C.1 - Prob. 8E Ch. C.1 - Prob. 9E Ch. C.1 - Prob. 10E

Ch. C.1 - Prob. 11E Ch. C.1 - Prob. 12E Ch. C.1 - Prob. 13E Ch. C.1 - Prob. 14E Ch. C.1 - Prob. 15E Ch. C.1 - Prob. 16E Ch. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18E Ch. C.1 - Prob. 19E Ch. C.1 - Prob. 20E Ch. C.1 - Prob. 21E Ch. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23E Ch. C.1 - Prob. 24E Ch. C.1 - Prob. 25E Ch. C.1 - Prob. 26E Ch. C.1 - Prob. 27E Ch. C.1 - Prob. 28E Ch. C.1 - Prob. 29E Ch. C.1 - Prob. 30E Ch. C.1 - Prob. 31E Ch. C.1 - Prob. 32E Ch. C.1 - Prob. 33E Ch. C.1 - Prob. 34E Ch. C.1 - Prob. 35E Ch. C.1 - Prob. 36E Ch. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38E Ch. C.1 - Prob. 39E Ch. C.1 - Prob. 40E Ch. C.1 - Prob. 41E Ch. C.1 - Prob. 42E Ch. C.1 - Prob. 43E Ch. C.1 - Prob. 44E Ch. C.1 - Prob. 45E Ch. C.1 - Prob. 46E Ch. C.1 - Prob. 47E Ch. C.1 - Prob. 48E Ch. C.1 - Prob. 49E Ch. C.1 - Prob. 50E Ch. C.1 - Prob. 51E Ch. C.1 - Prob. 52E Ch. C.1 - Prob. 53E Ch. C.1 - Prob. 54E Ch. C.1 - Prob. 55E Ch. C.1 - Prob. 56E Ch. C.1 - Prob. 57E Ch. C.1 - Prob. 58E Ch. C.1 - Prob. 59E Ch. C.1 - Prob. 60E Ch. C.1 - Prob. 61E Ch. C.1 - Prob. 62E Ch. C.1 - Prob. 63E Ch. C.1 - Prob. 64E Ch. C.1 - Prob. 65E Ch. C.1 - Prob. 66E Ch. C.1 - Prob. 67E Ch. C.1 - Prob. 68E Ch. C.1 - Prob. 69E Ch. C.1 - Prob. 70E Ch. C.1 - Prob. 71E Ch. C.1 - Prob. 72E Ch. C.1 - Prob. 73E Ch. C.1 - Prob. 74E Ch. C.1 - Prob. 75E Ch. C.1 - Prob. 76E Ch. C.1 - Prob. 77E Ch. C.1 - Prob. 78E Ch. C.1 - Prob. 79E Ch. C.1 - Centroid The medians of a triangle are the line...Ch. C.1 - Prob. 81E Ch. C.1 - Prob. 82E Ch. C.1 - Prob. 83E Ch. C.1 - Prob. 84E Ch. C.1 - In this section, we presented two algebraic...Ch. C.1 - Prob. 86E Ch. C.1 - Prob. 87E Ch. C.1 - In the process of solving a system of linear...Ch. C.1 - Prob. 89E Ch. C.1 - Prob. 90E Ch. C.1 - Prob. 91E Ch. C.1 - Prob. 92E Ch. C.1 - Prob. 93E Ch. C.1 - Prob. 94E Ch. C.1 - Prob. 95E Ch. C.1 - Prob. 96E Ch. C.2 - Prob. 1E Ch. 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C.3 - Prob. 39E Ch. C.3 - Prob. 40E Ch. C.3 - Prob. 41E Ch. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43E Ch. C.3 - Prob. 44E Ch. C.3 - Prob. 45E Ch. C.3 - Prob. 46E Ch. C.3 - Prob. 47E Ch. C.3 - Prob. 48E Ch. C.3 - Prob. 49E Ch. C.3 - Prob. 50E Ch. C.3 - Prob. 51E Ch. C.3 - Prob. 52E Ch. C.3 - Prob. 53E Ch. C.3 - Prob. 54E Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57E Ch. C.3 - Prob. 58E Ch. C.3 - Prob. 59E Ch. C.3 - Prob. 60E Ch. C.3 - Prob. 61E Ch. C.3 - Prob. 62E Ch. C.3 - Prob. 63E Ch. C.3 - Prob. 64E Ch. C.3 - Prob. 65E Ch. C.3 - Prob. 66E Ch. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68E Ch. C.3 - Prob. 69E Ch. C.3 - Prob. 70E Ch. C.3 - Prob. 71E Ch. C.3 - Prob. 72E Ch. C.3 - Prob. 73E Ch. C.3 - Prob. 74E Ch. C.3 - Prob. 75E Ch. C.3 - Prob. 76E Ch. C.3 - Prob. 77E Ch. 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C.4 - Prob. 21E Ch. C.4 - Prob. 22E Ch. C.4 - Prob. 23E Ch. C.4 - Prob. 24E Ch. C.4 - Prob. 25E Ch. C.4 - Prob. 26E Ch. C.4 - Prob. 27E Ch. C.4 - Prob. 28E Ch. C.4 - Prob. 29E Ch. C.4 - Prob. 30E Ch. C.4 - Prob. 31E Ch. C.4 - Prob. 32E Ch. C.4 - Prob. 33E Ch. C.4 - Prob. 34E Ch. C.4 - Prob. 35E Ch. C.4 - Prob. 36E Ch. C.4 - Prob. 37E Ch. C.4 - Prob. 38E Ch. C.4 - Prob. 39E Ch. C.4 - Prob. 40E Ch. C.4 - Prob. 41E Ch. C.4 - Prob. 42E Ch. C.4 - Prob. 43E Ch. C.4 - Prob. 44E Ch. C.4 - Prob. 45E Ch. C.4 - Prob. 46E Ch. C.4 - Prob. 47E Ch. C.4 - Prob. 48E Ch. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50E Ch. C.4 - Prob. 51E Ch. C.4 - Prob. 52E Ch. C.4 - Prob. 53E Ch. C.4 - Prob. 54E Ch. C.4 - Prob. 55E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59E Ch. C.4 - Prob. 60E

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The system of equations corresponding to the given augmented matrix and determine whether the system is consistent with independent solution or consistent with dependent solution. If consistent with independent solution obtain the solution.

Solution Summary: The author explains how to write the system of equations for the given augmented matrix.

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To write: The system of equations corresponding to the given augmented matrix and determine whether the system is consistent with independent solution or consistent with dependent solution. If consistent with independent solution obtain the solution.

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Chapter C Solutions