Explanation Approach: A system of the linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations. The missing variable in the equation corresponds to a 0 entry in the augmented matrix. Calculation: Consider the augmented matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] . The leading variables are x , y , z , and w . The system of equations is x + 2 y + 3 z − w = 7 , y − 2 z = 5 , z + 2 w = 5 , and w = 3 To determine (b) To solve: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

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ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

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Chapter 11.1, Problem 27E

To determine

(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

To determine

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].

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Chapter 11.1, Problem 26E

Chapter 11.1, Problem 28E

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Chapter 11 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 11.1 - If a system of linear equations has infinitely...Ch. 11.1 - Write the augmented matrix of the following system...Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - 5-10 Dimension of a Matrix State the dimension of...Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

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(a) To write: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

Solution Summary: The author explains how a linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations.

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(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].

Want to see the full answer?

Chapter 11 Solutions

(a) To write: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

Solution Summary: The author explains how a linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations.

Videos

(a) To write: The system of equations for the matrix [123−1701−2050012500013].

(b) To solve: The system of equations for the matrix [123−1701−2050012500013].

Want to see the full answer?

Chapter 11 Solutions

(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].