Explanation Given information: The system of linear equations is { 42 x − 31 y − 42 w = − 0.4 − 6 x − 9 w = 4.5 31 y + 48 z − 52 w = − 76.6 . Calculation: The given system of linear equations is { 42 x − 31 y − 42 w = − 0.4 − 6 x − 9 w = 4.5 31 y + 48 z − 52 w = − 76.6 . Rearrange the above system of equations as, { 42 x − 31 y + 0 z − 42 w = − 0.4 − 6 x + 0 y + 0 z − 9 w = 4.5 0 x + 31 y + 48 z − 52 w = − 76.6 Therefore, the augmented matrix of the given system of equations is, [ 42 − 31 0 − 42 − 0.4 − 6 0 0 − 9 4.5 0 31 48 − 52 − 76.6 ] To reduce the above system of linear equations in to row reduced echelon form first turn on the graphing calculator and press 2nd and x − 1 button simultaneously. Enter the dimension of the matrix and then enter the entries of the augmented matrix of the given system of equations as shown below in Figure 1. The third and fourth column of the matrix is shown in Figure 2. To get the solution in to two decimal places, select MODE and set Floatto 2 as shown below. Press Matrix and select the command rref to obtain reduced row form of augmented matrix. Now, enter the augmented matrix and the row reduced echelon matrix is obtained as shown in Figure 4. The third and fourth column of the row reduced echelon matrix is shown in Figure 5. From Figure 4 and Figure 5 it is obtained that the system of equation can be written as, { x + 0 y + 0 z + 1.50 w = − .75 0 x + y + 0 z + 3

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ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.1, Problem 67E

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The system of linear equations {42x−31y−42w=−0.4−6x−9w=4.531y+48z−52w=−76.6 by the rref command on the graphing calculator round to two decimal places.

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Chapter 6.1, Problem 66E

Chapter 6.1, Problem 68E

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Chapter 6 Solutions

College Algebra

Ch. 6.1 - If a system of linear equations has infinitely...Ch. 6.1 - Write the augmented matrix of the following system...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Dimension of a Matrix State the dimension of the...Ch. 6.1 - Prob. 10E

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The system of linear equations { 42 x − 31 y − 42 w = − 0.4 − 6 x − 9 w = 4.5 31 y + 48 z − 52 w = − 76.6 by the rref command on the graphing calculator round to two decimal places.

Solution Summary: The author explains how to solve the system of linear equations by the rref command on the graphing calculator.

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To solve:

The system of linear equations {42x−31y−42w=−0.4−6x−9w=4.531y+48z−52w=−76.6 by the rref command on the graphing calculator round to two decimal places.

Want to see the full answer?

Chapter 6 Solutions

The system of linear equations { 42 x − 31 y − 42 w = − 0.4 − 6 x − 9 w = 4.5 31 y + 48 z − 52 w = − 76.6 by the rref command on the graphing calculator round to two decimal places.

Solution Summary: The author explains how to solve the system of linear equations by the rref command on the graphing calculator.

Videos

To solve: The system of linear equations {42x−31y−42w=−0.4−6x−9w=4.531y+48z−52w=−76.6 by the rref command on the graphing calculator round to two decimal places.

Want to see the full answer?

Chapter 6 Solutions

To solve:

The system of linear equations {42x−31y−42w=−0.4−6x−9w=4.531y+48z−52w=−76.6 by the rref command on the graphing calculator round to two decimal places.