Homework Help is Here – Start Your Trial Now!
Math
Algebra
The next step in Gauss-Jordan row reduction is to select the first nonzero entry in the first row as the pivot. In this case, the first nonzero entry in the first row is the entry in the first column, so we select that entry as the pivot. -1 1 1 45 2 11 0 1 01 0 The next step is to use the pivot to clear the column using Type 2 row operations. A Type 2 row operation occurs when a row is replaced by a multiple of itself and the sum or difference of a multiple of another row. Clearing the column means changing all nonzero entries (other than the pivot) to zeros. Formulate the row operation that will change the first entry in the second row to zero. First, we will multiply each entry by the absolute value of the entry in the other row. The first entry in R, is , which has absolute value 1. The first entry in R, is| , which has absolute value 2. In general, the row operation used should always have the form aR ± bR_ where R_ is the row to change, R, is the pivot row, and a and b are both positive. Therefore, the row operation will of one of the following forms. + 2R, R, - 2R, Next, we will choose whether to add or subtract the rows. The pivot and the first entry in R, have --Select-- V, so the following row operation will change the first entry in R, to zero. | 2R Applying this row operation results in the following matrix.

The next step in Gauss-Jordan row reduction is to select the first nonzero entry in the first row as the pivot. In this case, the first nonzero entry in the first row is the entry in the first column, so we select that entry as the pivot. -1 1 1 45 2 11 0 1 01 0 The next step is to use the pivot to clear the column using Type 2 row operations. A Type 2 row operation occurs when a row is replaced by a multiple of itself and the sum or difference of a multiple of another row. Clearing the column means changing all nonzero entries (other than the pivot) to zeros. Formulate the row operation that will change the first entry in the second row to zero. First, we will multiply each entry by the absolute value of the entry in the other row. The first entry in R, is , which has absolute value 1. The first entry in R, is| , which has absolute value 2. In general, the row operation used should always have the form aR ± bR_ where R_ is the row to change, R, is the pivot row, and a and b are both positive. Therefore, the row operation will of one of the following forms. + 2R, R, - 2R, Next, we will choose whether to add or subtract the rows. The pivot and the first entry in R, have --Select-- V, so the following row operation will change the first entry in R, to zero. | 2R Applying this row operation results in the following matrix.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
100%
The next step in Gauss-Jordan row reduction is to select the first nonzero entry in the first row as the pivot. In this case, the first nonzero entry in the first row is the entry in the first column, so we select that entry as the pivot. -1 1 1 45 2 11 0 1 01 0 The next step is to use the pivot to clear the column using Type 2 row operations. A Type 2 row operation occurs when a row is replaced by a multiple of itself and the sum or difference of a multiple of another row. Clearing the column means changing all nonzero entries (other than the pivot) to zeros. Formulate the row operation that will change the first entry in the second row to zero. First, we will multiply each entry by the absolute value of the entry in the other row. The first entry in R, is , which has absolute value 1. The first entry in R, is , which has absolute value 2. In general, the row operation used should always have the form aR ± bR_ where R_ is the row to change, R, is the pivot row, and a and b are both positive. Therefore, the row operation will be of one of the following forms. R, + 2R, R. - 2R, Next, we will choose whether to add or subtract the rows. The pivot and the first entry in R, have v, so the following row operation will change the first entry in R, to zero. | 2R, --Select- Applying this row operation results in the following matrix. -1 1 1 45 3 3 0 1 1
Transcribed Image Text:The next step in Gauss-Jordan row reduction is to select the first nonzero entry in the first row as the pivot. In this case, the first nonzero entry in the first row is the entry in the first column, so we select that entry as the pivot. -1 1 1 45 2 11 0 1 01 0 The next step is to use the pivot to clear the column using Type 2 row operations. A Type 2 row operation occurs when a row is replaced by a multiple of itself and the sum or difference of a multiple of another row. Clearing the column means changing all nonzero entries (other than the pivot) to zeros. Formulate the row operation that will change the first entry in the second row to zero. First, we will multiply each entry by the absolute value of the entry in the other row. The first entry in R, is , which has absolute value 1. The first entry in R, is , which has absolute value 2. In general, the row operation used should always have the form aR ± bR_ where R_ is the row to change, R, is the pivot row, and a and b are both positive. Therefore, the row operation will be of one of the following forms. R, + 2R, R. - 2R, Next, we will choose whether to add or subtract the rows. The pivot and the first entry in R, have v, so the following row operation will change the first entry in R, to zero. | 2R, --Select- Applying this row operation results in the following matrix. -1 1 1 45 3 3 0 1 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix Factorization
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.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS