MATH303-22S2 (C) Semester Two 2022

# Applied Matrix Algebra

15 points

Details:
 Start Date: Monday, 18 July 2022 End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 31 July 2022
• Without academic penalty (including no fee refund): Sunday, 2 October 2022

## Description

A continuation of 200-level linear algebra with computational and theoretical aspects and applications.

The course investigates and develops some of the fundamental concepts of matrix algebra, including matrix decompositions, positive definiteness, and solving linear systems. It also explores how matrix algebra can be used in a variety of applications, including problems in commerce, data science, engineering, operations research, and elsewhere.

Topics Covered:
Topics will be selected from the following list: Vector and matrix norms and condition numbers; QR-factorizations via Givens and Householder matrices; Singular Value Decompositions, Cholesky factorization; Fundamental spaces of a matrix; Least squares, and the use of QR-factorizations and the SVD to find the shortest solutions; Eigenvalues, eigenvectors, and their effcient calculation; Linear programming; Integer programming.

## Learning Outcomes

• At the end of the course, students will:
• Be proficient in the standard techniques of matrix algebra;
• understand why these techniques work;
• be able to use these techniques in a variety of applications, including using MATLAB to solve problems;
• have developed problem solving skills both as part of a team and as an individual;
• have developed written and oral communications skills, emphasizing the ability to
• explain what the mathematics means.

## Prerequisites

One of MATH203, EMTH211, or
DATA203

MATH352, EMTH412

## Textbooks / Resources

Fletcher, R; Practical methods of optimization ; 2nd ed.; Wiley, 1987.

Noble, Ben. , Daniel, James W; Applied linear algebra ; 3rd ed; Prentice-Hall, 1988.

Strang, Gilbert; Linear algebra and its applications ; 4th ed; Thomson, Brooks/Cole, 2006.

## Indicative Fees

Domestic fee \$802.00

International fee \$4,563.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

## All MATH303 Occurrences

• MATH303-22S2 (C) Semester Two 2022