Explanation Example: Consider the system of 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 write the augmented matrix for the given system of equations: Augmented matrix is: [ 1 1 1 1 − 1 4 1 − 1 1 − 2 1 − 2 − 1 − 2 1 2 | − 1 0 11 − 3 ] Apply Gauss Jordan Elimination Method. Use row operation to reduce the matrix to row echelon form R 2 → R 2 + R 1 , gives [ 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 − 1 5 0 − 3 0 − 3 12 0 − 1 2 3 − 4 ] R 3 → R 3 + 3 R 2 , gives [ 1 1 1 1 − 1 0 1 2 5 0 − 1 5 0 0 6 5 − 3 57 5 0 − 1 2 3 − 4 ] R 4 → R 4 + R 2 , gives [ 1 1 1 1 − 1 0 1 2 5 0 − 1 5 0 0 6 5 − 3 57 5 0 0 12 5 3 − 21 5

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ISBN: 9780134494890

Author: Blitzer

Publisher: PEARSON

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Chapter 8.1, Problem 60PE

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Whether the statement “ When I use matrices to solve linear systems, the only arithmetic involve multiplication or a combination of multiplication and addition” makes sense or not.

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Chapter 8.1, Problem 59PE

Chapter 8.1, Problem 61PE

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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 “ When I use matrices to solve linear systems, the only arithmetic involve multiplication or a combination of multiplication and addition” makes sense or not.

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Whether the statement “ When I use matrices to solve linear systems, the only arithmetic involve multiplication or a combination of multiplication and addition” makes sense or not.

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Chapter 8 Solutions