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 0 − 2 2 5 0 1 3 0 − 1 0 0 1 − 1 0 0 0 0 1 − 1 ] . The leading variables are x , y , z , and w . The system of equations is x − 2 z + 2 w = 5 , y + 3 z = − 1 , z − w = 0 , and w = − 1 To determine (b) To solve: The system of equations for the matrix [ 1 0 − 2 2 5 0 1 3 0 − 1 0 0 1 − 1 0 0 0 0 1 − 1 ] .

4th Edition

ISBN: 9781305719781

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 11.1, Problem 28E

To determine

(a)

To write:

The system of equations for the matrix [10−2250130−1001−100001−1].

To determine

(b)

To solve:

The system of equations for the matrix [10−2250130−1001−100001−1].

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.1, Problem 27E

Chapter 11.1, Problem 29E

Students have asked these similar questions

2. Find the exact value of 12 + 12+12+√√12+ √12+ 12

Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?

1. Find the inverse of f(x) = = 2x 1+2x Then find the domain of the inverse.

Chapter 11 Solutions

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

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

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

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 [10−2250130−1001−100001−1].

(b)

To solve:

The system of equations for the matrix [10−2250130−1001−100001−1].

Want to see the full answer?

Chapter 11 Solutions

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

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 [10−2250130−1001−100001−1].

(b) To solve: The system of equations for the matrix [10−2250130−1001−100001−1].

Want to see the full answer?

Chapter 11 Solutions

(a)

To write:

The system of equations for the matrix [10−2250130−1001−100001−1].

(b)

To solve:

The system of equations for the matrix [10−2250130−1001−100001−1].