Problem 2: Judge if the following linear system of equations has solutions or not. If it has, find the solutions only by Gauss elimination. Note: there are many choices to make when using Gauss elimination. The choices I make when solving this lead to having fractional 3rds in one step, but you can get rid of them in the next step. So keep them in fraction form instead of decimal. 2x₁ + 5x2 + 4x3 + 5x4 = -5 2x₁ + 3x₂ + 3x3 - 1x4 = 7 2x13x2 + 3x3 + 4x4 = 3 2x1x2 + 5x3 - 4x4 21 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 2:
Judge if the following linear system of equations has solutions or not. If it has, find the solutions only
by Gauss elimination.
Note: there are many choices to make when using Gauss elimination. The choices I make when solving this lead
to having fractional 3rds in one step, but you can get rid of them in the next step. So keep them in fraction form
instead of decimal.
2x₁ + 5x₂ + 4x3 + 5x4 = -5
2x₁ + 3x₂ + 3x3 - 1x4 = 7
2x13x2 + 3x3 + 4x4 = 3
2x1x₂ + 5x3 - 4x4:
21
-
=
Transcribed Image Text:Problem 2: Judge if the following linear system of equations has solutions or not. If it has, find the solutions only by Gauss elimination. Note: there are many choices to make when using Gauss elimination. The choices I make when solving this lead to having fractional 3rds in one step, but you can get rid of them in the next step. So keep them in fraction form instead of decimal. 2x₁ + 5x₂ + 4x3 + 5x4 = -5 2x₁ + 3x₂ + 3x3 - 1x4 = 7 2x13x2 + 3x3 + 4x4 = 3 2x1x₂ + 5x3 - 4x4: 21 - =
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