Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +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 x3 are the leading variables, while x2 and x4 are the free variables O c. x1 and x2 are the leading variables, while x3 and x4 are the free variables O d. x1, x2 and x3 are the leading variables, while x4 is the free variable O e. x1 and x4 are the leading variables, while x2 and xz are the free variables

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
X1
-x2
+x3
+x4
3
-2x1
+x2
-2x3
-7
3x1
-2х2 +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 x3 are the leading variables, while x2 and x4 are the free variables
O c. x1 and x2 are the leading variables, while x3 and x4 are the free variables
O d. x1, x2 and x3 are the leading variables, while x4 is the free variable
O .
x1 and x4 are the leading variables, while x2 and x3 are the free variables
II
Transcribed Image Text:Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +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 x3 are the leading variables, while x2 and x4 are the free variables O c. x1 and x2 are the leading variables, while x3 and x4 are the free variables O d. x1, x2 and x3 are the leading variables, while x4 is the free variable O . x1 and x4 are the leading variables, while x2 and x3 are the free variables II
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