Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2х1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 The REF of the augmented matrix is: 1 -2 1 3 1 1 1 0 0 1 OTrue OFalse X1 and x4 are the leading variables, while X2 and x3 are the free variables OTrue OFalse The solution set is { (5 - 3α, α, 2-α, 0), να E R OTrue OFalse

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the linear system
3x1
-6x2 +3x3
+9x4
3
2х1
-3x2 +3x3
+4x4
4
-3x1
+7x2
-2x3
-10x4
-1
The REF of the augmented matrix is:
1
-2
1 3
1
1
1
2
2
1
OTrue
OFalse
x1 and x4 are the leading variables, while
X2 and x3 are the free variables
OTrue
OFalse
The solution set is {(5 – 3a, a, 2 – a, 0),
να E R
OTrue
OFalse
Transcribed Image Text:Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2х1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 The REF of the augmented matrix is: 1 -2 1 3 1 1 1 2 2 1 OTrue OFalse x1 and x4 are the leading variables, while X2 and x3 are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), να E R OTrue OFalse
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