# MTH419 Linear Algebra (8)

This subject builds on matrix algebra covered in previous studies and includes the topics vector spaces, subspaces, linear transformations, eigenvalues and eigenvectors, inner products and orthonormal bases. Applications of postgraduate level linear algebra, as well as matrix algebra are both covered here.

## Availability

Session 2 (60)
Online
Wagga Wagga Campus

Continuing students should consult the SAL for current offering details: MTH419. Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.

## Subject Information

HD/FL

One session

##### School

School of Computing and Mathematics

##### Enrolment Restrictions

Not available to students who have completed MTH219 Linear Algebra or equivalent.

MTH101 or MTH129

MTH219

## Learning Outcomes

##### Upon successful completion of this subject, students should:
• be able to investigate and discuss in depth the mathematical concepts of linear algebra such as: vector spaces, inner products, linear transformations, eigenvalues and eigenvectors;
• be able to apply the processes of linear algebra to solve particular problems including: solving systems of linear equations, inverting a matrix, finding eigenvalues and eigenvectors;
• be able to apply and discuss the concepts and processes of linear algebra in relation to a number of real world problems.

## Syllabus

##### This subject will cover the following topics:
• Review of vectors in R2 and R3, matrices, determinants, solution of systems of linear equations.
• Vector spaces, subspaces, bases and dimension.
• Inner products and orthonormal bases.
• Linear transformations, matrix representation of a linear transformation.
• Eigenvalues and eigenvectors.
• Selected applications of linear algebra.

#### Indicative Assessment

The following table summarises the assessment tasks for the online offering of MTH419 in Session 2 2019. Please note this is a guide only. Assessment tasks are regularly updated and can also differ to suit the mode of study (online or on campus).

Item Number
Title
Value %
1
Test 1: assumed knowledge
3
2
Assignment 1: vector spaces
12
3
Test 2: inner product spaces
3
4
Assignment 2: inner products/linear transform's
12
5
Final exam
70

The information contained in the CSU Handbook was accurate at the date of publication: October 2020. The University reserves the right to vary the information at any time without notice.

Back