Explanation In row equivalent form, each diagonal entry is 1 and the entries below diagonal entries are 0 . For example: The system of linear equation, x + y + z + w = − 1 − x + 4 y + z − w = 0 x − 2 y + z − 2 w = 11 − x − 2 y + z + 2 w = − 3 First we will write the augmented matrix for the given system of equations: Augmented matrix: [ 1 1 1 1 − 1 − 1 4 1 − 1 0 1 − 2 1 − 2 11 − 1 − 2 1 2 − 3 ] Now, using row operation we will reduce the matrix to row echelon form R 2 → R 2 + R 1 , [ 1 1 1 1 − 1 0 5 2 0 − 1 1 − 2 1 − 2 11 − 1 − 2 1 2 − 3 ] R 3 → R 3 − R 1 gives [ 1 1 1 1 − 1 0 5 2 0 − 1 0 − 3 0 − 3 12 − 1 − 2 1 2 − 3 ] R 4 → R 4 + R 1 gives [ 1 1 1 1 − 1 0 5 2 0 − 1 0 − 3 0 − 3 12 0 − 1 2 3 − 4 ] R 2 → 1 5 R 2 gives [ 1 1 1 1 − 1 0 1 2 5 0

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ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.1, Problem 65PE

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Whether the statement “ In solving a linear system of three euations in three variables, we begin with the augmented matrix and use roe petaions to obtain a row-equivalent matrix with 0s down the diagonal from left to right and 1s below each 0” is true or false.

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Chapter 8.1, Problem 64PE

Chapter 8.1, Problem 66PE

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Chapter 8 Solutions

Precalculus (6th Edition)

Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix ...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVC Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVC Ch. 8.1 - Prob. 4CVC Ch. 8.1 - Fill in each blank so that the resulting statement...

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Whether the statement “ In solving a linear system of three euations in three variables, we begin with the augmented matrix and use roe petaions to obtain a row-equivalent matrix with 0s down the diagonal from left to right and 1s below each 0” is true or false.

Solution Summary: The author analyzes whether the statement "In solving a linear system of three euations in three variables, we begin with the augmented matrix" is true or false.

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Whether the statement “ In solving a linear system of three euations in three variables, we begin with the augmented matrix and use roe petaions to obtain a row-equivalent matrix with 0s down the diagonal from left to right and 1s below each 0” is true or false.

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Chapter 8 Solutions