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Consider the linear system +x3 +x4 3 %3D X1 -x2 -2x1 +x2 -2x3 -7 %3D 3x1 -2x2 +3x3 +x4 10 %3D 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 and x3 are the leading variables, while x2 and x4 are the free variables O b. x1 and x4 are the leading variables, while x2 and x3 are the free variables O c. X1,X2 and x4 are the leading variables, while x3 is the free variable O d. X1 and x2 are the leading variables, while x3 and x4 are the free variables Oe. X1,X2 and x3 are the leading variables, while x4 is the free variable

Consider the linear system +x3 +x4 3 %3D X1 -x2 -2x1 +x2 -2x3 -7 %3D 3x1 -2x2 +3x3 +x4 10 %3D 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 and x3 are the leading variables, while x2 and x4 are the free variables O b. x1 and x4 are the leading variables, while x2 and x3 are the free variables O c. X1,X2 and x4 are the leading variables, while x3 is the free variable O d. X1 and x2 are the leading variables, while x3 and x4 are the free variables Oe. X1,X2 and x3 are the leading variables, while x4 is the free variable

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Consider the linear system -X2 +x3 +x4 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 %3D 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 and x3 are the leading variables, while x2 and x4 are the free variables O b. X1 and x4 are the leading variables, while x2 and x3 are the free variables O c. X1, X2 and x4 are the leading variables, while x3 is the free variable O d. x1 and x2 are the leading variables, while x3 and x4 are the free variables O e. X1, X2 and x3 are the leading variables, while x4 is the free variable
Transcribed Image Text:Consider the linear system -X2 +x3 +x4 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 %3D 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 and x3 are the leading variables, while x2 and x4 are the free variables O b. X1 and x4 are the leading variables, while x2 and x3 are the free variables O c. X1, X2 and x4 are the leading variables, while x3 is the free variable O d. x1 and x2 are the leading variables, while x3 and x4 are the free variables O e. X1, X2 and x3 are the leading variables, while x4 is the free variable
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