Determine if the matrix is in reduced row-echelon form. If not, explain why. 10 4 -8 0 1 -2 0 0 1 9- The 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
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Determine if the matrix is in reduced row-echelon form. If not, explain why.
10 4
8-
0 1 0
-2
0 0 1 -6
O The 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.
Transcribed Image Text:Determine if the matrix is in reduced row-echelon form. If not, explain why. 10 4 8- 0 1 0 -2 0 0 1 -6 O The 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.
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