Show that the system x1 + x2 + x3 = y1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an

Chapter 2, Problem 28

(choose chapter or problem)

Show that the system x1 + x2 + x3 = y1, 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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