Computer Implementation of Matrix Computations and Row Transformations on Matrices with Application to Solving Systems of Linear Equations (UMAP)

This module gives a comprehensive introduction to the use of a computer to perform a variety of matrix operations and calculations. Computer programming techniques for the input/output of matrices, matrix-arithmetic operations, computations of powers of square matrices, and the implementation of elementary row transformations on matrices are discussed thoroughly. A generic version of the BASIC programming language is used throughout.

Table of Contents:

INTRODUCTION

INPUT AND OUTPUT OF MATRICES USING BASIC

PRINTING ENTRIES OF A MATRIX ROW ALONG ONE LINE
Computations using Matrices
Rounding Off Matrix Entries to a Specified Precision
Computer Implementation of Matrix-Arithmetic Operations
Application of Computer-Matrix-Multiplication to Dietary Analysis

COMPUTER IMPLEMENTATION OF ELEMENTARY ROW TRANSFORMATIONS ON MATRICES

COMPUTER IMPLEMENTATION OF THE GAUSSIAN ELIMINATION ALGORITHM

BIBLIOGRAPHY

ANSWERS TO SELECTED EXERCISES