Linear Algebra
Course Level Undergraduate
Course Level Undergraduate
Area/Catalogue
MATH 1056
Course Level
Undergraduate
Offered Externally
No
Course ID
101193
Unit Value
4.5
University-wide elective course
Yes
The 2025 timetable is
not yet available.
Course owner
UniSA STEM
To develop basic concepts in linear algebra and apply them to problems using analytic and numerical techniques. To provide an introduction to matrix algebra and to use the software package MATLAB to solve problems.
Module 1: Linear Algebra (Applied)
Vectors and matrices, linear dependence of vectors, linear systems of equations, row operation as matrix multiplications, row reduced echelon form (RREF), matrix inverse, determinants, eigenvalues and eigenvectors of a square matrix, degenerate eigenvalues, diagonalisation of a square matrix, application to coupled systems of ordinary differential equations with examples from mechanics and ecology. MATLAB exercises.
Module 2: Linear Algebra (Abstract)
Definition and basic properties of abstract vector spaces; examples; Inner products; Cauchy-Schwarz inequality; Subspaces; Definition of dimension; Finite vector spaces and bases; The isomorphism theorem; Linear Transformations. Basic definitions: rank, null space, etc. The fundamental theorem; Special transformations: projections, orthogonal transformation, symmetric transformations, stochastic matrices; Spectral theorem for symmetric matrices; Matrix functions: matrix exponential, power series.
Nil
Students need to have passed SACE Stage 2 Mathematical Methods or equivalent.
Nil
Component | Duration | ||
---|---|---|---|
INTERNAL, MAWSON LAKES | |||
Seminar | 2 hours x 13 weeks | ||
Seminar | 2 hours x 13 weeks | ||
Tutorial | 1 hour x 12 weeks | ||
Computer Practical | 1 hour x 12 weeks |
Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.
Examination, Problem solving exercise, Test/Quiz
EFTSL*: 0.125
Commonwealth Supported program (Band 1)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
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Non-award enrolment
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* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.