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Consider the linear system -12 +x3 +x4 -2x1 +12 -2x3 = -7 3x1 -2x2 +3x3 +24 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. 1 and x2 are the leading variables, while æ3 and r4 are the free variables O b. 1, x2 and r3 are the leading variables, while x4 is the free variable O c. 1, 12 and r4 are the leading variables, while æ3 is the free variable O d. r1 and a3 are the leading variables, while r2 and x4 are the free variables O e. T1 and r4 are the leading variables, while 22 and r3 are the free variables

Consider the linear system -12 +x3 +x4 -2x1 +12 -2x3 = -7 3x1 -2x2 +3x3 +24 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. 1 and x2 are the leading variables, while æ3 and r4 are the free variables O b. 1, x2 and r3 are the leading variables, while x4 is the free variable O c. 1, 12 and r4 are the leading variables, while æ3 is the free variable O d. r1 and a3 are the leading variables, while r2 and x4 are the free variables O e. T1 and r4 are the leading variables, while 22 and r3 are the free variables

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the linear system - x2 +23 +I4 3 -2x1 +12 -2x3 -7 3x1 -2x2 +33 +æ4 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: T1 and a2 are the leading variables, while r3 and x4 are the free variables O a. O b. 1, x2 and r3 are the leading variables, while x4 is the free variable C. T1, 12 and x4 are the leading variables, while x3 is the free variable O d. 1 and a3 are the leading variables, while x2 and x4 are the free variables O e. x and x4 are the leading variables, while x2 and r3 are the free variables
Transcribed Image Text:Consider the linear system - x2 +23 +I4 3 -2x1 +12 -2x3 -7 3x1 -2x2 +33 +æ4 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: T1 and a2 are the leading variables, while r3 and x4 are the free variables O a. O b. 1, x2 and r3 are the leading variables, while x4 is the free variable C. T1, 12 and x4 are the leading variables, while x3 is the free variable O d. 1 and a3 are the leading variables, while x2 and x4 are the free variables O e. x and x4 are the leading variables, while x2 and r3 are the free variables
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