Use Gaussian elimination to solve the system of equations x1 + 5x2 -2x1 - 7x2 a) b) = 7 = -5 x1 - 2x2 - 6x3 2x1 + 4x2 + 12x3 x14x2 - 12x3 x1 + x2 − 3x3 2x1 + x2- x3 3x1 + 2x2 - 4x3 = = 12 = -17 = = = 22 = = 2 = 6
Use Gaussian elimination to solve the system of equations x1 + 5x2 -2x1 - 7x2 a) b) = 7 = -5 x1 - 2x2 - 6x3 2x1 + 4x2 + 12x3 x14x2 - 12x3 x1 + x2 − 3x3 2x1 + x2- x3 3x1 + 2x2 - 4x3 = = 12 = -17 = = = 22 = = 2 = 6
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
5.3
Transcribed Image Text:Use Gaussian elimination to solve the system of equations
a)
b)
c)
x1 + 5x2
-2x17x₂
= = 7
= −5
X1
2x2 - 6x3
2x₁ + 4x2 + 12x3
x₁ − 4x2 - 12x3
x1 + x₂ − 3x3
2x1 + x2- X3
3x₁ + 2x2 - 4x3
= 12
= -17
= 22
=
=
= 4
= 2
= 6
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