(a) Show that a matrix with two rows and two columns that is in reduced row-echelon form must have one of the following forms: 61816961 (b) List the four reduced row-echelon forms for matrices with three rows and two columns.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 83E: Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
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(a) Show that a matrix with two rows and two columns that is in reduced row-echelon
form must have one of the following forms:

(b) List the four reduced row-echelon forms for matrices with three rows and two columns

 

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(a) Show that a matrix with two rows and two columns that is in reduced row-echelon
form must have one of the following forms:
6 1.8 1.836 1
(b) List the four reduced row-echelon forms for matrices with three rows and two columns.
Transcribed Image Text:(a) Show that a matrix with two rows and two columns that is in reduced row-echelon form must have one of the following forms: 6 1.8 1.836 1 (b) List the four reduced row-echelon forms for matrices with three rows and two columns.
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