(a) x+2y-z = 2, 2x+y=6, x=y+z=3 (b) 3x-2y+z= -2, x-y+3z=5, -x+y+z=-1
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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Question
Please solve (b)
Transcribed Image Text:For each of the following linear systems, either solve¹ the linear system or show that
it has no solutions. Use Gaussian elimination in each case, reducing to RREF
(if possible) and reading off any solutions from the matrix.
(a) x+2y-z = 2, 2x+y = 6, x-y+z=3
(b) 3x - 2y + z = -2, x-y+3z=5, −x+y+z=-1
(c) x₁ + x3 = 4, x₁ - x₂ + 2x3 = 5, 4x₁ - x₂ + 5x3 = 17
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