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Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 Bring the augmented matrix of the system to row echelon form, and state which of the variables are leading variables and which are free variables. Select one: O a. X1, X2 and x4 are the leading variables, while x3 is the free variable O b. x1 and x2 are the leading variables, while x3 and x4 are the free variables O C. X1, X2 and x3 are the leading variables, while x4 is the free variable O d. x1 and x3 are the leading variables, while x2 and x4 are the free variables е. X1 and x4 are the leading variables, while x2 and x3 are the free variables II

Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 Bring the augmented matrix of the system to row echelon form, and state which of the variables are leading variables and which are free variables. Select one: O a. X1, X2 and x4 are the leading variables, while x3 is the free variable O b. x1 and x2 are the leading variables, while x3 and x4 are the free variables O C. X1, X2 and x3 are the leading variables, while x4 is the free variable O d. x1 and x3 are the leading variables, while x2 and x4 are the free variables е. X1 and x4 are the leading variables, while x2 and x3 are the free variables II

Algebra for College Students
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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Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 Bring the augmented matrix of the system to row echelon form, and state which of the variables are leading variables and which are free variables. Select one: а. X1, X2 and x4 are the leading variables, while x3 is the free variable b. x1 and x2 are the leading variables, while x3 and x4 are the free variables С. X1, X2 and x3 are the leading variables, while x4 is the free variable d. x1 and x3 are the leading variables, while x2 and x4 are the free variables е. X1 and x4 are the leading variables, while x2 and x3 are the free variables
Transcribed Image Text:Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 Bring the augmented matrix of the system to row echelon form, and state which of the variables are leading variables and which are free variables. Select one: а. X1, X2 and x4 are the leading variables, while x3 is the free variable b. x1 and x2 are the leading variables, while x3 and x4 are the free variables С. X1, X2 and x3 are the leading variables, while x4 is the free variable d. x1 and x3 are the leading variables, while x2 and x4 are the free variables е. X1 and x4 are the leading variables, while x2 and x3 are the free variables
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