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Consider the linear system The REF of the augmented matrix is: 3x1 2x1 - 3x1 +7x2 1 -2 1 3 1 0 1 1 2 2 0 0 0 1 0 +9x4 -6x2 +3x3 -3x2 +3x3 +4x4 -2x3 -10x4 The solution set is {(5 – 3a, a, 2 - a, 0), Va ≤ R} OTrue O True ₁ and 4 are the leading variables, while x2 and 3 are the free variables O True OFalse OFalse OFalse = = 347

Consider the linear system The REF of the augmented matrix is: 3x1 2x1 - 3x1 +7x2 1 -2 1 3 1 0 1 1 2 2 0 0 0 1 0 +9x4 -6x2 +3x3 -3x2 +3x3 +4x4 -2x3 -10x4 The solution set is {(5 – 3a, a, 2 - a, 0), Va ≤ R} OTrue O True ₁ and 4 are the leading variables, while x2 and 3 are the free variables O True OFalse OFalse OFalse = = 347

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 The REF of the augmented matrix is: 1 -2 0 0 1 1 1 -6x₂ +3x3 2x1 - 3x2 -3x₁ +7x₂ 3 1 2 2 00 1 0 3x1 +9x4 +3x3 +4x4 -2x3 -10x4 O True ₁ and 4 are the leading variables, while 2 and 3 are the free variables O True The solution set is {(5 – 3a, a, 2 — a, 0), Va ≤ R} OTrue OFalse OFalse OFalse = 4 −1
Transcribed Image Text:Consider the linear system The REF of the augmented matrix is: 1 -2 0 0 1 1 1 -6x₂ +3x3 2x1 - 3x2 -3x₁ +7x₂ 3 1 2 2 00 1 0 3x1 +9x4 +3x3 +4x4 -2x3 -10x4 O True ₁ and 4 are the leading variables, while 2 and 3 are the free variables O True The solution set is {(5 – 3a, a, 2 — a, 0), Va ≤ R} OTrue OFalse OFalse OFalse = 4 −1
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