Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither
Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
PLEASE HELP CORRECT ANSWER ONLY OR DONT HELP PLEASE!!
![Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form.
0 0 1 0 0
0 0 0 1 0
LO 007
STEP 1: Check rows consisting entirely of zeros.
Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix?
O Yes
O No
O There are no rows consisting entirely of zeros.
STEP 2: Check the first nonzero entry of each row.
Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1?
O Yes
O No
O There are no rows that do not consist entirely of zeros.
STEP 3: Check successive nonzero rows.
If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows?
O Yes
O No
O There exists at least one row which does not have a leading 1.
STEP 4: Check the columns with leading ones.
Does every column with a leading 1 have zeros in every position above and below its leading 1?
O Yes
O No
STEP 5: Determine the form of the matrix. (Select all that apply.)
Orow-echelon form
O reduced row-echelon form
Oneither](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b9fb947-7d87-49f8-9e34-2adf636f2bfd%2Fd4d78ec3-58ff-4fcb-b608-ec4392406a2e%2Fjibfhll_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form.
0 0 1 0 0
0 0 0 1 0
LO 007
STEP 1: Check rows consisting entirely of zeros.
Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix?
O Yes
O No
O There are no rows consisting entirely of zeros.
STEP 2: Check the first nonzero entry of each row.
Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1?
O Yes
O No
O There are no rows that do not consist entirely of zeros.
STEP 3: Check successive nonzero rows.
If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows?
O Yes
O No
O There exists at least one row which does not have a leading 1.
STEP 4: Check the columns with leading ones.
Does every column with a leading 1 have zeros in every position above and below its leading 1?
O Yes
O No
STEP 5: Determine the form of the matrix. (Select all that apply.)
Orow-echelon form
O reduced row-echelon form
Oneither
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)