Are the three statements true or false? Consider the linear system3x1-6x2 +3x3+9x43%3D2a1-3x2 +3x3+4x44%3D-3x1 +7x2 -2xz -10x4-1%3!3 12 21-21The REF of the augmented matrix is:111OTrueOFalsea1 and r4 are the leading variables, while x2 and x3 are the free variablesОrueOFalseThe solution set is {(5 – 3a, a, 2 – a, 0), Va e R}OTrueOFalseIL ||

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Consider the linear system 3x1 -6x2 +3r3 +9x4 3 %3D 2x1 -3x2 +3x3 +4x4 4 %3D -3x1 +7x2 -2xz -10x4 -1 %3D 1 -2 1 3 1 The REF of the augmented matrix is: 1 1 2 2 1 0 OTrue OFalse T1 and æ4 are the leading variables, while r2 and æ3 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 +3r3 +9x4 3 %3D 2x1 -3x2 +3x3 +4x4 4 %3D -3x1 +7x2 -2xz -10x4 -1 %3D 1 -2 1 3 1 The REF of the augmented matrix is: 1 1 2 2 1 0 OTrue OFalse T1 and æ4 are the leading variables, while r2 and æ3 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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