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Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 1 -2 1 3 1 | The REF of the augmented matrix is: 1 1 2 2 0 0 1 OTrue OFalse x1 and æ4 are the leading variables, while æ2 and x3 are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OTrue OFalse

Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 1 -2 1 3 1 | The REF of the augmented matrix is: 1 1 2 2 0 0 1 OTrue OFalse x1 and æ4 are the leading variables, while æ2 and x3 are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OTrue OFalse

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 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -1 -3x1 +7x2 -2x3 -10x4 1 -2 1 3 1 1 1 2 2 The REF of the augmented matrix is: 0 0 1 OFalse OTrue x1 and r4 are the leading variables, while x2 and æ3 are the free variables OFalse OTrue The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OFalse OTrue
Transcribed Image Text:Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -1 -3x1 +7x2 -2x3 -10x4 1 -2 1 3 1 1 1 2 2 The REF of the augmented matrix is: 0 0 1 OFalse OTrue x1 and r4 are the leading variables, while x2 and æ3 are the free variables OFalse OTrue The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OFalse OTrue
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