Determine if the matrix is in reduced row-echelon form. If not, explain why. 1 0 5 0 1 0 5 0 0 1 2 OThe matrix is in reduced row-echelon form. The matrix is not in reduced row-echelon form because it fails at least one of the following conditions. 1. Any rows consisting entirely of zeros are at the bottom of the matrix. 2. For all other rows, the first nonzero entry is 1. This is called the leading 1. 3. The leading 1 in each nonzero row is to the right of the leading 1 in the row immediately above. 4. Each row with a leading entry of 1 has zeros above the leading 1.
Determine if the matrix is in reduced row-echelon form. If not, explain why. 1 0 5 0 1 0 5 0 0 1 2 OThe matrix is in reduced row-echelon form. The matrix is not in reduced row-echelon form because it fails at least one of the following conditions. 1. Any rows consisting entirely of zeros are at the bottom of the matrix. 2. For all other rows, the first nonzero entry is 1. This is called the leading 1. 3. The leading 1 in each nonzero row is to the right of the leading 1 in the row immediately above. 4. Each row with a leading entry of 1 has zeros above the leading 1.
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
![Determine if the matrix is in reduced row-echelon form. If not, explain why.
1 05
-2
0 1 0
5
0 0 1
OThe matrix is in reduced row-echelon form.
The matrix is not in reduced row-echelon form because it fails at least one of the following
conditions.
1. Any rows consisting entirely of zeros are at the bottom of the matrix.
2. For all other rows, the first nonzero entry is 1. This is called the leading 1.
3. The leading 1 in each nonzero row is to the right of the leading 1 in the row immediately above.
4. Each row with a leading entry of 1 has zeros above the leading 1.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb220ec59-9d26-4e42-a311-ad83a7bba1ca%2F1a41ee30-7223-4866-8518-9eba8ccce079%2F4yqg18g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine if the matrix is in reduced row-echelon form. If not, explain why.
1 05
-2
0 1 0
5
0 0 1
OThe matrix is in reduced row-echelon form.
The matrix is not in reduced row-echelon form because it fails at least one of the following
conditions.
1. Any rows consisting entirely of zeros are at the bottom of the matrix.
2. For all other rows, the first nonzero entry is 1. This is called the leading 1.
3. The leading 1 in each nonzero row is to the right of the leading 1 in the row immediately above.
4. Each row with a leading entry of 1 has zeros above the leading 1.
2.
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 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)