Explanation Given: The system of equations is as follows: w + x + y + z = 6 w − x + 3 y + z = − 14 w + 2 x − 3 z = 12 2 w + 3 x + 6 y + z = 1 Calculation: Consider the following system of equations: w + x + y + z = 6 w − x + 3 y + z = − 14 w + 2 x − 3 z = 12 2 w + 3 x + 6 y + z = 1 Express the above system in the form of matrix as follows: [ 1 1 1 1 6 1 − 1 3 1 − 14 1 2 0 − 3 12 2 3 6 1 1 ] Use the elementary row operations to obtain the echelon form of matrix: R 2 → R 2 + ( − 1 ) R 1 , R 3 → R 3 + ( − 1 ) R 1 , R 4 → R 4 + ( − 2 ) R 1 gives, [ 1 1 1 1 6 0 − 2 2 0 − 20 0 1 − 1 − 4 6 0 1 4 − 1 − 11 ] R 2 → − 1 2 R 2 gives, [ 1 1 1 1 6 0 1 − 1 0 10 0 1 − 1 − 4 6 0 1 4 − 1 − 11 ] R 3 → R 3 + ( −

5th Edition

ISBN: 9780321837240

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 9, Problem 4MCCP

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To calculate: The solution to the system of equations w+x+y+z=6, w−x+3y+z=−14, w+2x−3z=12 and 2w+3x+6y+z=1.

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Chapter 9, Problem 3MCCP

Chapter 9, Problem 5MCCP

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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution. Remember that: A matrix is in row echelon form if Any row that consists only of zeros is at the bottom of the matrix. The first non-zero entry in each other row is 1. This entry is called aleading 1. The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.

Chapter 9 Solutions

Algebra and Trigonometry

Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Prob. 3CVC Ch. 9.1 - Prob. 4CVC Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E

Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Prob. 55E Ch. 9.1 - Prob. 56E Ch. 9.1 - Prob. 57E Ch. 9.1 - Prob. 58E Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - Prob. 61E Ch. 9.1 - Prob. 62E Ch. 9.1 - Prob. 63E Ch. 9.1 - Prob. 64E Ch. 9.1 - Prob. 65E Ch. 9.1 - Prob. 66E Ch. 9.1 - Prob. 67E Ch. 9.1 - Prob. 68E Ch. 9.1 - Prob. 69E Ch. 9.1 - Prob. 70E Ch. 9.2 - Fill in each blank so that the resulting statement...Ch. 9.2 - Prob. 2CVC Ch. 9.2 - Prob. 3CVC Ch. 9.2 - True or false: If (2z+3,5z1,z) is the solution set...Ch. 9.2 - Using Gaussian elimination to solve {...Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - The figure for Exercises 29-32 shows the...Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - 33. The figure shows the intersections of four...Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.3 - Fill in each blank so that the resulting statement...Ch. 9.3 - Fill in each blank so that the resulting statement...Ch. 9.3 - Fill in each blank so that the resulting statement...Ch. 9.3 - Fill in each blank so that the resulting statement...Ch. 9.3 - Prob. 5CVC Ch. 9.3 - Prob. 6CVC Ch. 9.3 - Prob. 7CVC Ch. 9.3 - Prob. 8CVC Ch. 9.3 - Prob. 9CVC Ch. 9.3 - Prob. 10CVC Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - Prob. 33E Ch. 9.3 - Prob. 34E Ch. 9.3 - Prob. 35E Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.3 - Prob. 39E Ch. 9.3 - Prob. 40E Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Prob. 45E Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - Prob. 49E Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 51E Ch. 9.3 - Prob. 52E Ch. 9.3 - Prob. 53E Ch. 9.3 - Prob. 54E Ch. 9.3 - Prob. 55E Ch. 9.3 - Prob. 56E Ch. 9.3 - Prob. 57E Ch. 9.3 - Prob. 58E Ch. 9.3 - Prob. 59E Ch. 9.3 - Prob. 60E Ch. 9.3 - Prob. 61E Ch. 9.3 - Prob. 62E Ch. 9.3 - 63. The final grade in a particular course is...Ch. 9.3 - Prob. 64E Ch. 9.3 - Prob. 65E Ch. 9.3 - Prob. 66E Ch. 9.3 - Prob. 67E Ch. 9.3 - Prob. 68E Ch. 9.3 - Prob. 69E Ch. 9.3 - Prob. 70E Ch. 9.3 - Prob. 71E Ch. 9.3 - Prob. 72E Ch. 9.3 - 73. 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The value of this second-order_________...Ch. 9.5 - Using Cramers Rule to solve { x+y=8xy=2 we obtain...Ch. 9.5 - | 321431511 |=3| |4| |Ch. 9.5 - Prob. 4CVC Ch. 9.5 - Prob. 5CVC Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 37E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 39E Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.5 - Prob. 47E Ch. 9.5 - Prob. 48E Ch. 9.5 - Prob. 49E Ch. 9.5 - Prob. 50E Ch. 9.5 - Prob. 51E Ch. 9.5 - Prob. 52E Ch. 9.5 - Prob. 53E Ch. 9.5 - Prob. 54E Ch. 9.5 - Prob. 55E Ch. 9.5 - Prob. 56E Ch. 9.5 - Prob. 57E Ch. 9.5 - Prob. 58E Ch. 9.5 - Prob. 59E Ch. 9.5 - Prob. 60E Ch. 9.5 - Prob. 61E Ch. 9.5 - Prob. 62E Ch. 9.5 - 63. Use the feature of your graphing utility that...Ch. 9.5 - Prob. 64E Ch. 9.5 - Prob. 65E Ch. 9.5 - Prob. 66E Ch. 9.5 - Prob. 67E Ch. 9.5 - Prob. 68E Ch. 9.5 - Prob. 69E Ch. 9.5 - Prob. 70E Ch. 9.5 - Prob. 71E Ch. 9.5 - Prob. 72E Ch. 9.5 - Prob. 73E Ch. 9.5 - Prob. 74E Ch. 9.5 - Prob. 75E Ch. 9.5 - Prob. 76E Ch. 9.5 - Prob. 77E Ch. 9.5 - Prob. 78E Ch. 9.5 - Prob. 79E Ch. 9 - In Exercises 1-5, use matrices to find the...Ch. 9 - In Exercises 1-5. use matrices to find the...Ch. 9 - Prob. 3MCCP Ch. 9 - Prob. 4MCCP Ch. 9 - Prob. 5MCCP Ch. 9 - Prob. 6MCCP Ch. 9 - Prob. 7MCCP Ch. 9 - Prob. 8MCCP Ch. 9 - Prob. 9MCCP Ch. 9 - Prob. 10MCCP Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - The figure shows a right triangle in a rectangular...Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Prob. 47RE Ch. 9 - Prob. 48RE Ch. 9 - Prob. 49RE Ch. 9 - Prob. 50RE Ch. 9 - Prob. 51RE Ch. 9 - Prob. 52RE Ch. 9 - Prob. 53RE Ch. 9 - Prob. 54RE Ch. 9 - Prob. 55RE Ch. 9 - In Exercises 52-55, use Cramers’s Rule to solve...Ch. 9 - Prob. 1T Ch. 9 - Prob. 2T Ch. 9 - Prob. 3T Ch. 9 - Prob. 4T Ch. 9 - Prob. 5T Ch. 9 - Prob. 6T Ch. 9 - Prob. 7T Ch. 9 - Prob. 8T Ch. 9 - Prob. 9T Ch. 9 - Prob. 10T Ch. 9 - Prob. 1CRE Ch. 9 - Prob. 2CRE Ch. 9 - Prob. 3CRE Ch. 9 - Prob. 4CRE Ch. 9 - Prob. 5CRE Ch. 9 - Prob. 6CRE Ch. 9 - Prob. 7CRE Ch. 9 - Prob. 8CRE Ch. 9 - Prob. 9CRE Ch. 9 - Prob. 10CRE Ch. 9 - Prob. 11CRE Ch. 9 - Prob. 12CRE Ch. 9 - Prob. 13CRE Ch. 9 - Prob. 14CRE Ch. 9 - Prob. 15CRE Ch. 9 - Prob. 16CRE Ch. 9 - Prob. 17CRE Ch. 9 - Prob. 18CRE Ch. 9 - Prob. 19CRE Ch. 9 - Prob. 20CRE Ch. 9 - Prob. 21CRE Ch. 9 - Prob. 22CRE Ch. 9 - Prob. 23CRE Ch. 9 - Prob. 24CRE Ch. 9 - Prob. 25CRE

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The solution to the system of equations w + x + y + z = 6 , w − x + 3 y + z = − 14 , w + 2 x − 3 z = 12 and 2 w + 3 x + 6 y + z = 1 .

Solution Summary: The author explains how to calculate the solution to the system of equations: w+x+y+z=6, and the elementary row operations to obtain the echelon form of matrix.

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To calculate: The solution to the system of equations w+x+y+z=6, w−x+3y+z=−14, w+2x−3z=12 and 2w+3x+6y+z=1.

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Chapter 9 Solutions