
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
![**Matrix Row Echelon Form Tutorial**
In this lesson, we will learn how to use elementary row operations to write the given matrix in row echelon form.
Given Matrix:
\[
\begin{bmatrix}
1 & 2 & 4 & | & 1 \\
2 & 2 & 7 & | & 3 \\
3 & 6 & 8 & | & -1
\end{bmatrix}
\]
### Steps to Achieve Row Echelon Form:
1. **Leading Entries**: Transform the matrix such that each leading entry in a row is 1, and is to the right of the leading entry in the row above it.
2. **Zeroes Below Leading Entries**: Ensure that all entries below a leading entry are zeros.
3. **Pivot Position**: Identify the columns containing the leading entries (known as pivot columns).
### Tasks:
- Apply elementary row operations such as row swapping, scalar multiplication, and row addition or subtraction to achieve the row echelon form.
- Enter your final results into the blank matrix provided.
**Practice Exercise:**
- Fill in the missing steps and complete the matrix transformation process.
This exercise will help reinforce the concept of row echelon form using basic operations. Remember to carefully perform each operation while ensuring the integrity of the original matrix structure is maintained.](https://content.bartleby.com/qna-images/question/d8badeeb-990f-4af1-8fd1-eb21fafff42d/52679fcc-7f53-43ee-9c93-abdd51ed68ce/zfkdgi_thumbnail.jpeg)
Transcribed Image Text:**Matrix Row Echelon Form Tutorial**
In this lesson, we will learn how to use elementary row operations to write the given matrix in row echelon form.
Given Matrix:
\[
\begin{bmatrix}
1 & 2 & 4 & | & 1 \\
2 & 2 & 7 & | & 3 \\
3 & 6 & 8 & | & -1
\end{bmatrix}
\]
### Steps to Achieve Row Echelon Form:
1. **Leading Entries**: Transform the matrix such that each leading entry in a row is 1, and is to the right of the leading entry in the row above it.
2. **Zeroes Below Leading Entries**: Ensure that all entries below a leading entry are zeros.
3. **Pivot Position**: Identify the columns containing the leading entries (known as pivot columns).
### Tasks:
- Apply elementary row operations such as row swapping, scalar multiplication, and row addition or subtraction to achieve the row echelon form.
- Enter your final results into the blank matrix provided.
**Practice Exercise:**
- Fill in the missing steps and complete the matrix transformation process.
This exercise will help reinforce the concept of row echelon form using basic operations. Remember to carefully perform each operation while ensuring the integrity of the original matrix structure is maintained.
Expert Solution

arrow_forward
Step 1: Given:
Step by stepSolved in 3 steps with 3 images

Knowledge Booster
Similar questions
- Compute the sum of A = 85 63 and B = 2a 4b - 3c - 8d possible A+B= (Simplify your answer. Type an expression for each matrix element. Use integers or fractions for any numbers in the expression.) JA الله S Nexarrow_forwardPlease select abc or darrow_forwardExplain why the product of a 3 × 2 matrix by a 3 × 2 matrix is undefined.arrow_forward
- Please, is urgent Given the matrices [A] and [B], when performing the operation [A] [B] = [C], shows the multiplication of the rows and columns that you need to perform to obtain the elements C_42, C_32, C_14, what value do these elements?arrow_forwardDetermine reduced row echleon form with stepsarrow_forwardUsing only the elements 0 and 1, find the number of 3x3 matrices that are (a) diagonal, (b) upper triangular, (c) nonsingular and upper . Generalize to nxn matrices.arrow_forward
- M1 Matrix is: M= -1 -1 4 3 A) Find the value in the first row and first column of the product M^-1M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. B) Find the value in the first row and second column of the product M^-1M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. C) Find the value in the second row and first column of the product M^-1M using matrix multiplication D) Find the value in the second row and second column of the product M^-1M using matrix multiplicationarrow_forwardThe table below represents the data for the salaries of 4 secretarial workers at a local law firm. The first row represents each employee's wage per hour, and the next 6 rows represent the amount of hours each person worked for the corresponding days of this 1 week time period. (The law firm is closed on Sundays) Use matrix multiplication to find the amount of money this law firms paid their secretaries each day of the week.arrow_forwardFind the following matrix product, if po 5-8 9. -5-2 -6 2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Trigonometry (11th Edition)TrigonometryISBN:9780134217437Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie DanielsPublisher:PEARSONTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning

Trigonometry (11th Edition)
Trigonometry
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:PEARSON

Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning


Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning