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28. Show that the system x₁ + x₂ + x3 = y1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an infinite number of solutions provided that (yı, y2, y3) lies on the plane with equation y₁ - 2y2 + Y3 = 0.

28. Show that the system x₁ + x₂ + x3 = y1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an infinite number of solutions provided that (yı, y2, y3) lies on the plane with equation y₁ - 2y2 + Y3 = 0.

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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28. Show that the system x1 + x2 + x3 = 1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an infinite number of solutions provided that (y1, y2, y3) lies on the plane with equation y₁ - 2y2 + Y3 = 0.
Transcribed Image Text:28. Show that the system x1 + x2 + x3 = 1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an infinite number of solutions provided that (y1, y2, y3) lies on the plane with equation y₁ - 2y2 + Y3 = 0.
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