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 Copper Zinc Glass 9 2 4 3 6 2 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 = 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 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