Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 1 -2 1 1 The REF of the augmented matrix is: 1 1 2 1 OTrue OFalse x1 and a4 are the leading variables, while x2 and æz are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va E R} OTrue OFalse

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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Matrices True or False.

Consider the linear system
3x1
-6x2 +3x3
+9x4
3
2x1
-3x2 +3x3
+4x4
4
-3x1 +7x2 -2x3
-10x4
1
-2 1
1
The REF of the augmented matrix is:
1
1
2
1
OTrue
OFalse
x1 and a4 are the leading variables, while x2 and æz are the free variables
OTrue
OFalse
The solution set is {(5 – 3a, a, 2 – a, 0), Va E R}
OTrue
OFalse
Transcribed Image Text:Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 1 -2 1 1 The REF of the augmented matrix is: 1 1 2 1 OTrue OFalse x1 and a4 are the leading variables, while x2 and æz are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va E R} OTrue OFalse
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