Linear Algebra (8110.3)
| Level: | Level 2 - Undergraduate Intermediate Unit |
|---|---|
| Credit Points: | 3 |
| HECS Bands: | 2, 4 |
| Faculty: | Faculty of Science and Technology |
| Discipline: | Academic Program Area - Technology |
Availability
Unit Outlines
To view your Unit Outline, click View to log in to MyUC and access this information, or visit your unit's online teaching site.
- Semester 1, 2019, ON-CAMPUS, BRUCE (185042) - View
- Semester 1, 2018, ON-CAMPUS, BRUCE (182156) - View
- Semester 1, 2017, ON-CAMPUS, BRUCE (165792) - View
- Semester 1, 2016, ON-CAMPUS, BRUCE (154296) - View
- Semester 1, 2015, ON-CAMPUS, BRUCE (145735) - View
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Syllabus
Systems of linear algebraic equations: Gaussian elimination and triangular decomposition; Numerical issues: norms and conditioning; Iterative methods for linear systems; Vector Spaces: basis, dimension, linear transformations, rank, kernel-image theorem, change of basis, matrix of a linear transformation; Eigenvalues and Eigenvectors: similarity and diagonalisation, symmetric matrices, Hermitian matrices, Jordan canonical forms, quadratic forms; Applications of Eigenvalues: matrix exponentiation, Markov chains, engineering; Inner Product Spaces: orthogonality, orthogonal projection, Gram-Schmidt process; Application to Fourier analysis, linear differential systems, least squares approximation, error correcting codes and Singular value decomposition.
Learning Outcomes
DESCRIPTION:
1. understand the topics covered and to be able to apply this understanding to real problems in the areas covered.
Assessment Items
Contact Hours
A 2-hour lecture and a 2-hour tutorial per week
Prerequisites
Discrete Mathematics or Mathematical Methods.
Corequisites
None.
Assumed Knowledge
None.
Equivalent Units
None.