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An electronic company produces transistors,

An electronic company produces transistors,

Advanced Engineering Mathematics
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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USE A,B,C=200

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 Transistor Resistors Computer chips Copper Zinc 3 4 2 2 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 = 20x last three digit of your matric number B = 10x last three digit of your matric number C = 12x 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.
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 Transistor Resistors Computer chips Copper Zinc 3 4 2 2 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 = 20x last three digit of your matric number B = 10x last three digit of your matric number C = 12x 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.
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