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.

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.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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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