Q2 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. Table Q2: Materials usage for each component Component Material Transistor Resistors Computer chips Copper Zinc 9 3 4 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 = 20x last three digit of your matric number B = 10× last three digit of your matric number C = 12× last three digit of your matric number For example, a student with the matrix number AD190246 will have the values of A = 20 x 246 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.

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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USE A,B,C=200

Q2
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.
Table Q2: Materials usage for each component
Component
Material
Transistor
Resistors
Computer chips
Сорper
9
3
4
Zinc
6.
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 zine and C units of glass, where
A = 20x last three digit of your matric number
B = 10×last three digit of your matric number
C = 12× last three digit of your matric number
For example, a student with the matrix number AD190246 will have the values of
A = 20 × 246
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.
Transcribed Image Text:Q2 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. Table Q2: Materials usage for each component Component Material Transistor Resistors Computer chips Сорper 9 3 4 Zinc 6. 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 zine and C units of glass, where A = 20x last three digit of your matric number B = 10×last three digit of your matric number C = 12× last three digit of your matric number For example, a student with the matrix number AD190246 will have the values of A = 20 × 246 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.
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