Explanation Given: The given augmented matrix is, [ 1 2 3 ⋮ 9 0 1 − 2 ⋮ 2 0 0 1 ⋮ − 1 ] Approach: A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the augmented matrix. Thus, from the augmented matrix, the system of linear equations can be obtained. Then use back substitution to solve the system. Calculation: Consider the given augmented matrix, [ 1 2 3 ⋮ 9 0 1 − 2 ⋮ 2 0 0 1 ⋮ − 1 ] As, the coefficients and constant terms of the system of equation are arranged in the augmented matrix with the constant term on the right, thus the system of linear equations for the augmented matrix is given as, { x + 2 y + 3 z = 9 y − 2 z = 2 z = − 1 Therefore, the system of linear equations for the augmented matrix is, { x + 2 y + 3 z = 9 y − 2 z = 2 z = − 1 Substitute − 1 for z in second equation. y − 2 ( − 1 ) = 2 y + 2 = 2 y = 2 − 2 y = 0 Substitute − 1 for z and 0 for y in the first equation

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

10th Edition

ISBN: 9781337605090

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.CR, Problem 11CR

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The system of linear equations represented by the augmented matrix [123⋮901−2⋮2001⋮−1] and then use back substitution to solve the system.

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Chapter 8.CR, Problem 10CR

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Chapter 8 Solutions

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

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The system of linear equations represented by the augmented matrix [ 1 2 3 ⋮ 9 0 1 − 2 ⋮ 2 0 0 1 ⋮ − 1 ] and then use back substitution to solve the system.

Solution Summary: The author explains how the system of linear equations can be obtained from the augmented matrix, which is arranged in the matrix with the constant term on the right.

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The system of linear equations represented by the augmented matrix [123⋮901−2⋮2001⋮−1] and then use back substitution to solve the system.

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Chapter 8 Solutions