Write the matrix in row-echelon form. (Remember that the row-echelon form of a matrix is not unique.)12 -1 637 -5-2 -1 -3 3 Step 1Row-echelon form has ones along the diagonal, and zeros below and to the left. To write a matrix in row-echelon form, perform the necessary elementary row operations to obtain this pattern. First, add -3 times the(-3R;first row to the second row-3R1 + R2) to obtain a new second row.12637 -5 5-2 -1 -3 31-161|-2-2-13-3R1 + R2 →-2-1-33Step 2Now, addx times the first row to the third row to obtain a new third row.2 -16.1.-2 -13-2 -1 -31 2 -11.-2-1303 -52R1 + R3 -3.

Answered: Image /qna-images/answer/373ec13e-747e-4542-968f-e4775d91f3df.jpg

Answered: Write the matrix in row-echelon form.…

Write the matrix in row-echelon form. (Remember that the row-echelon form of a matrix is not unique.) 1 2 -1 6 7 -5 5 3 -2 -1 -3 3

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.1: Matrices And Systems Of Equations

Problem 5ECP: Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced...

See similar textbooks

Related questions

Q: Find the reduced row echelon form of this augmented matrix 1 -5 -9 2001 1 -4. - 6 250 | 2 -10 -17…

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: Use Gaussian Elimination to put the following matrix in Row-Echelon form. Note: You do not nee…

Q: J-6x1 4x2=1 1-2x1-x₂ = − 1 When you put your cursor in the answer box, select the matrix tab and…

Q: Every row in matrix A contains a pivot position. (True or False?) 3 A=-1 -1 -1 %3D -4 2 -8

Q: The Reduced Row Echelon Form of the matrix 1 2 -1 -2 -4 1 2 7 2 1 1 a 0 b 3 -6 is 0 0 1 5 C 0000…

A: The given matrix is: 12-13-2-42-61215 Let, A=12-13-2-42-61215

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

Q: Write the augmented matrix for the given system. The rows of the augmented matrix should be in the…

A: How to write the Augmented matrix for the system of equations : Write the coefficient of the 'x'…

Q: Write the matrix equation as a system of linear equations without matrices. -7 -3 -5 4 8 8 -7 y -3…

Q: 1 -2 -3 - 5 1 -2 -3 -5 1 11 7 1 -3 4 7 1 1 -2 - 3 -3-5 1 7 2. 3.

A: We are given a matrix and we need to find the required entries in a row reduced echelon form.

Q: Write the matrix in row-echelon form. (Remember that the row-echelon form of a matrix is not…

Q: For Exercise, determine if the matrix is in reduced row-echelon form. If not, explain why. 0 03 0 05

A: The given matrix is not in its row reduced form. The row reduced form of a matrix is one in which…

Q: Write the dimension of a matrix you can multiply a 2 x 3 matrix by :

A: The given matrix dimension is 2 x 3 This is in the form of m x n where m is the number of rows and…

Q: The given matrix is an augmented matrix used in the solution of a system of linear equations. What…

A: The given augmented matrix is: 100|4010|13001|-3

Q: Determine if the matrix is in row-echelon form. If not, explain why. 1 -1 6 7 1 7 6. 1 0 OThe matrix…

A: A matrix is said to be in row echelon from iff all the entries of a column below the leading entry…

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

A: Here we will solve the given system of equations .

Q: Reduce to row-echelon form and determine the rank of the matrix. -4 -3 2 a) A=0 -1 b) B = 3 1 1 -5 5…

A: Solve the matrix for the rank

Q: -2 a 3. 22 9. 6 3 7.

A: Given that,-2ab337=229

Q: For Exercise, determine if the matrix is in row-echelon form. If not, explain why. 2 |-6 1 1 -3 2

A: Row-echelon form of a matrix is the one in which all the principal diagonal elements are either 1 or…

Q: -3 3 -1 -2 -5 - 3 2 -3 Find the size of the matrix 3 1

A: Size of matrix defined by number of rows X number of columns

Q: Let 1 -2 - 4 3 M = 5 -3 The row echelon form of the matrix is

Q: For Exercise, determine if the matrix is in row-echelon form. If not, explain why. 6 4 -1 3

A: The row-echelon form of a matrix is the one in which all the principal diagonal elements are either…

Q: The dimension of the row-space of a matrix equals the number of rows of the matrix. Select one: O…

Q: Perform elementary row operation to convert the matrix to Reduced Row Echelon form 4 5 7 2 8 6 2 3…

A: Using rows operations,

Q: use elementary row operations to reduce the given matrix to (a) row echelon form and (b) reduced row…

A: Given matrix is

Q: Write a system of linear equations represented by the augmented matrix. Give your answer in standard…

Q: Does a matrix have a unique row-echelon form? Illustrate your answer with examples.

Q: Write the augmented matrix for the given system. The rows of the augmented matrix should be in the…

Q: Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon…

A: Given matrix, A=-3-913-4-121713-4

Q: Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form. 1…

A: Given matrix 124-3125-8-2-4-6-351019-8 The first transformation is R2→R2-R1…

Q: Use the matrix capabilities of a graphing utility to write the matrix in reduced row-echelon form.…

A: Using the matrix capabilities of a graphing utility we got this row echelon form.

Q: For Exercise, determine if the matrix is in row-echelon form. If not, explain why. 3 26 5 9

A: Any matrix is in row echelon form when it satisfies the following conditions: 1. The first non zero…

Q: Reduce the matrix 3 -2 -15 A = 1 2 -2 11 2 -5 o reduced row-echelon form.

A: The given matrix is: A=3-22-1512-211332-5 Calculate the reduced matrix row-echelon form.

Q: Diagonalize the matrix, if possible -1 4 -2 A = -3 4 1 = 1, 2, 3 -3 1 3 Upload an image or PDF of…

A: matrix has no repeated eigen value (have 3 district eigen values) so it is diagonalizable. we will…

Q: 1- 1 1 2 3 4-5 M %3D | | The row echelon form of the matrix is (Do not switch rows or make the…

Q: A few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the…

Q: Which system of equations is represented by the matrices? UGU COU 5 3 10 4 2

Q: Write the augmented matrix of the given system of equations. x+y-z = 3 Зх- бу = 3 Зx + 5у -z = 1 The…

Q: For Exercise, determine if the matrix is in reduced row-echelon form. If not, explain why. 10 2 3

A: The row echelon form of a matrix is the one in which all the principal diagonal matrix are either 1…

Q: For Exercise, determine if the matrix is in reduced row-echelon form. If not, explain why. 1 0 0 -1…

A: A matrix is said to be in its row echelon form if all the diagonal elements are either zero or one.…

Q: Write the augmented matrix for the given system. The rows of the augmented matrix should be in the…

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

Q: Write an augmented matrix for the following system of equations. 7x - бу + 7z = - 6 7x - Тy + 8y -…

Q: Determine if the matrix is in row-echelon form. If not, explain why. 1 -6 -8 1 -7 7 1 0 O The matrix…

Q: Part 1: Use row operations to transform the following matrix into reduced row-echelon form. [3 -1 1…

Q: What is the reduced row-echelon form of this matrix? 13-4 : 01 5 21 0 0 1 : 4

A: We have to find the row reduced echlon form

Q: orm the row operations R2 3, +12-anu R3 13 ement, and enter the resulting matrix below. - 2 4

A: The answer is as:

Question

100%

Write the matrix in row-echelon form. (Remember that the row-echelon form of a matrix is not unique.)
1
2 -1 6
3
7 -5
-2 -1 -3 3

Step 1
Row-echelon form has ones along the diagonal, and zeros below and to the left. To write a matrix in row-
echelon form, perform the necessary elementary row operations to obtain this pattern. First, add -3 times the
(-3R;
first row to the second row
-3R1 + R2) to obtain a new second row.
1
2
6
3
7 -5 5
-2 -1 -3 3
1
-1
6
1
|-2
-2
-13
-3R1 + R2 →
-2
-1
-3
3
Step 2
Now, add
x times the first row to the third row to obtain a new third row.
2 -1
6.
1.
-2 -13
-2 -1 -3
1 2 -1
1.
-2
-13
03 -5
2R1 + R3 -
3.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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, calculus and related others by exploring similar questions and additional content below.

Similar questions

Determine the dimension of the matrix 14710238.
Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form. 1024011130000
Use matrix methods to solve each problem Nutritional planning One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 22 milligrams mg of niacin, 12 mg of zinc, and 20 mg of vitamin C? Food Niacin Zinc Vitamin C A 1 mg 1 mg 2 mg B 2 mg 1 mg 1 mg C 2 mg 1 mg 2 mg
CAPSTONE In your own words, describe the difference between a matrix in row-echelon form and a matrix in reduced row echelon form. Include an example of each to support your explanation.
Use matrix methods to solve each problem. Chainsaw sculpting A wood sculptor carves three types of statues with a chainsaw. The number of hours required for carving, sanding, and painting a totem pole, a bear, and a deer are shown in the table. How many of each should be produced to use all available labor hours? Totem Pole Bear Deer Time Available Carving 2 hr 2 hr 1 hr 14 hr Sanding 1 hr 2 hr 2 hr 15 hr Painting 3 hr 2 hr 2 hr 21 hr
Is there only one correct method of using row operations on a matrix? Try to explain two different row operations possible to solve the augmented matrix [9312|06] .
Write the augmented matrix of the following system of equations. System {x+yz=1x+2z=32yz=3 Augmented matrix
Write the system of equations that that corresponds to the augmented matrix. 379. [103120012| 1 23]