Each linear system has infinitely many solutions. Use parametric equations to describe its solution set. a) x1 + 3x2 − x3 = −4 3x1 + 9x2 − 3x3 = −12 −x1 − 3x2 + x3 = 4 b) 6x1 + 2x2 = −8 3x1 + x2 = −4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. Each linear system has infinitely many solutions. Use parametric equations to describe its solution set.

a)

x1 + 3x2 − x3 = −4
3x1 + 9x2 − 3x3 = −12
−x1 − 3x2 + x3 = 4

b)

6x1 + 2x2 = −8
3x1 + x2 = −4

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