USE A,B,C=200 Q2An electronic company produces transistors, resistors, and computer chips. The materialrequired to produce one transistor, resistor and computer chip is as tabulated in Table Q2.Table Q2: Materials usage for each componentComponentMaterialTransistorResistorsComputer chipsСорper934Zinc6.2Glass427Supplies of these materials vary from week to week, so the company needs to determine adifferent production run each week. For example, for this week, the total amounts of materialsavailable are A units of copper, B units of zine and C units of glass, whereA = 20x last three digit of your matric numberB = 10×last three digit of your matric numberC = 12× last three digit of your matric numberFor example, a student with the matrix number AD190246 will have the values ofA = 20 × 246The problem is to determine the number of transistors, resistors, and computer chips to bemanufactured 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.

A square matrix A=aij is said to be a diagonally dominant matrix, if it satisfies the following…

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.

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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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