An electronic company produces transistors, resistors, and computer chips. The material required to produce one transistor, resistor and computer chip is as tabulated in Table Q2. Q2 Table Q2: Materials usage for each component Component Computer chips Material Соpper Zinc Resistors Transistor 9. 3 4 2 2 Glass 4 2 7 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, for this week, the total amounts of materials available are A units of copper, B units of zinc and C units of glass, where A = 4000 B= 2000 C=2400| The problem is to determine the number of transistors, resistors, and computer chips to be manufactured for this week. A) Organize the given information into a complete matrix form. B) Show that matrix A in Q2(a) is diagonally dominant. C) Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration method.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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NUMERICAL METHOD

An electronic company produces transistors, resistors, and computer chips. The material
required to produce one transistor, resistor and computer chip is as tabulated in Table Q2.
Q2
Table Q2: Materials usage for each component
Component
Material
Сорper
Zinc
Transistor
Resistors
Computer chips
9
3
4
Glass
4
7
Supplies of these materials vary from week to week, so the company needs to determine a
different production run each week. For example, for this week, the total amounts of materials
available are A units of copper, B units of zinc and C units of glass, where
A = 4000
B= 2000
C=2400|
The problem is to determine the number of transistors, resistors, and computer chips to be
manufactured for this week.
A) Organize the given information into a complete matrix form.
B) Show that matrix A in Q2(a) is diagonally dominant.
C) Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration method.
D) Compute the corresponding number of transistors, resistors, and computer chips to be
manufactured for this week using Gauss Seidel iteration method. Perform your calculation until 4th
iteration.
Transcribed Image Text:An electronic company produces transistors, resistors, and computer chips. The material required to produce one transistor, resistor and computer chip is as tabulated in Table Q2. Q2 Table Q2: Materials usage for each component Component Material Сорper Zinc Transistor Resistors Computer chips 9 3 4 Glass 4 7 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, for this week, the total amounts of materials available are A units of copper, B units of zinc and C units of glass, where A = 4000 B= 2000 C=2400| The problem is to determine the number of transistors, resistors, and computer chips to be manufactured for this week. A) Organize the given information into a complete matrix form. B) Show that matrix A in Q2(a) is diagonally dominant. C) Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration method. D) Compute the corresponding number of transistors, resistors, and computer chips to be manufactured for this week using Gauss Seidel iteration method. Perform your calculation until 4th iteration.
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