ANSWERS UP TO 5 DECIMAL PLACES Solve the following set of equations using Gauss elimination2x1 – 100,000x2 = 100,000%3DX1 -X2 = 2Use Gauss elimination and Inverse method (by minors, cofactors and adjoint) to solve:8х, — 2х, — 2хg 3D —210x, + 2x2 + 4xX3 = 412x1 + 2x2 + 2x3 = 6Use Gauss-Jordan elimination, Cramer's Rule and LU decomposition to solve:2х, + х2 — Xз %3D 1%3D3x1 + x2 + x3 = 5The following system of equations is designed to determine concentrations (the c's in g/m3)in a series of coupled reactors as a function of amount of mass input to each reactor (theright-hand sides in g/d)15с1 — Зс2 — сз — 3800— Зс, + 18с2 — 6с3 3D 1200-4c1 – C2 – 12cz = 2350Solve this problem with the Gauss-Seidel method to ea = 5%.Repeat number 4 but use Jacobi's iterationUse the Gauss-Seidel method to solve the following system until the percent relative error fallsbelow ea = 5%.-3x, + x2 + 12x3 :6x1 – x2 – X3 = 3бх, + 9х2 + хз3D 40= 50

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Description: ANSWERS UP TO 5 DECIMAL PLACES Solve the following set of equations using Gauss elimination2x1 – 100,000x2 = 100,000%3DX1 -X2 = 2Use Gauss elimination and Inverse method (by minors, cofactors and adjoint) to solve:8х, — 2х, — 2хg 3D —210x, + 2x2 + 4x

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Solve the following set of equations using GauSs elimination 100,000 2x1 – 100,000x2 %3D X1 - X2 = 2

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.7: Puzzle Problems

Problem 32P

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Question

ANSWERS UP TO 5 DECIMAL PLACES

Solve the following set of equations using Gauss elimination
2x1 – 100,000x2 = 100,000
%3D
X1 -
X2 = 2
Use Gauss elimination and Inverse method (by minors, cofactors and adjoint) to solve:
8х, — 2х, — 2хg 3D —2
10x, + 2x2 + 4xX3 = 4
12x1 + 2x2 + 2x3 = 6
Use Gauss-Jordan elimination, Cramer's Rule and LU decomposition to solve:
2х, + х2 — Xз %3D 1
%3D
3x1 + x2 + x3 = 5
The following system of equations is designed to determine concentrations (the c's in g/m3)
in a series of coupled reactors as a function of amount of mass input to each reactor (the
right-hand sides in g/d)
15с1 — Зс2 — сз — 3800
— Зс, + 18с2 — 6с3 3D 1200
-4c1 – C2 – 12cz = 2350
Solve this problem with the Gauss-Seidel method to ea = 5%.
Repeat number 4 but use Jacobi's iteration
Use the Gauss-Seidel method to solve the following system until the percent relative error falls
below ea = 5%.
-3x, + x2 + 12x3 :
6x1 – x2 – X3 = 3
бх, + 9х2 + хз3D 40
= 50

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