Question 6 Given a system of linear equations, with ke R. x + 2y 2: - 3 3x + y 1 -2x - y + (k- 1): - 2k - 4 6.1 Use an augmented matrix and the method of Gauss reduction to write the matrix in row echelon form. Clearly indicate every elementary row operation. 6.2 Use the augmented matrix to find the value(s) of k so that the system is a consistent system. Write down only the answer using set notation.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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Question 6
Given a system of linear equations, with ke R.
+ 2y
2:
-3
3x + y
-2x - y
+ (k - 1): - 2k - 4
6.1 Use an augmented matrix and the method of Gauss reduction to write the matrix
in row echelon form. Clearly indicate every elementary row operation.
6.2 Use the augmented matrix to find the value(s) of k so that the system
is a consistent system. Write down only the answer using set notation.
Transcribed Image Text:Question 6 Given a system of linear equations, with ke R. + 2y 2: -3 3x + y -2x - y + (k - 1): - 2k - 4 6.1 Use an augmented matrix and the method of Gauss reduction to write the matrix in row echelon form. Clearly indicate every elementary row operation. 6.2 Use the augmented matrix to find the value(s) of k so that the system is a consistent system. Write down only the answer using set notation.
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