**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.

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Answered: Use elementary row operations to write…

Math

Trigonometry

Use elementary row operations to write the matrix in row echelon for 124 1 227 3 368-1

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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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.

Expert Solution

Step 1: Given:

$open square brackets table row 1 2 4 1 row 2 2 7 3 row 3 6 8 cell negative 1 end cell end table close square brackets$

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