or the next three parts of this question, consider the linear system + 2x2 + 2x4 1 -x1 2x2 X4 2 2x1 4x2 X3 4x4 a Write down the augmented matrix of the system. Bring the augmented matrix to row echelon form, indicating which elementary row operation you have used at each step. State which of the variables are leading variables and which are free variables of the reduced system, and write down the olution set of the system. || || + | + + | +

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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For the next three parts of this question, consider the linear system
2x2 +
x3
+ 2x4
1
2x2
2
2x1
4x2
X3
+
4x4
aWrite down the augmented matrix of the system.
Bring the augmented matrix to row echelon form, indicating which elementary row operation you have used at each step.
State which of the variables are leading variables and which are free variables of the reduced system, and write down the
solution set of the system.
|| ||
Transcribed Image Text:For the next three parts of this question, consider the linear system 2x2 + x3 + 2x4 1 2x2 2 2x1 4x2 X3 + 4x4 aWrite down the augmented matrix of the system. Bring the augmented matrix to row echelon form, indicating which elementary row operation you have used at each step. State which of the variables are leading variables and which are free variables of the reduced system, and write down the solution set of the system. || ||
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