## Unit description

Introduces students to the theory, techniques and applications of linear algebra. Topics include matrices and determinants, vectors, vector and inner product spaces, linear transformations.

## Unit content

Topics 1 and 2: Matrices and determinants - Matrix definitions and operations - Inverse matrices - Determinants, evaluation and properties - Diagonal, triangular and symmetric matrices.

Topics 3 and 4: Vectors - Definitions - Basic operations and algebra of vectors.

Topics 5 to 8: Vector spaces Euclidean and general vector spaces and subspaces - Linear independence - Basis and dimension - Linear transformations.

Topic 9: Inner product spaces - Inner product - Orthonormal bases.

Topic 10: Eigenvalues and eigenvectors - Eigenvalues and eigenvectors - Diagonalisation and orthogonal diagonalisation.

## Learning outcomes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

## Prescribed texts

### Session 1

• Anton, H & Rorres, C, 2011, Elementary linear algebra with applications, 10th edn, Wiley, Hoboken, NJ.

### Session 2

• Anton, H & Rorres, C, 2011, Elementary linear algebra with applications, 10th edn, Wiley, Hoboken, NJ.
Prescribed texts may change in future study periods.

## Teaching and assessment

### Lismore

 Teaching method Lecture on-site 2 hr (12 weeks) Tutorial on-site 2 hour (12 weeks)
 Assessment Quiz SR Applied and theoretical problems. Mathematical calculations 25% Applied and theoretical problems. Mathematical calculations 25% Exam: closed book 50%

### Online

 Teaching method Tutorial online 1 hour (8 weeks)
 Assessment Quiz SR Applied and theoretical problems. Mathematical calculations 25% Applied and theoretical problems. Mathematical calculations 25% Exam: closed book 50%
Notice

Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

## Fee information

### Domestic

Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2016 Commonwealth Supported only. Student contribution band: 2

Fee paying courses