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Unit of study_
MATH1014: Introduction to Linear Algebra
2023 unit information
This unit is an introduction to Linear Algebra. Topics covered include vectors, systems of linear equations, matrices, eigenvalues and eigenvectors. Applications in life and technological sciences are emphasised.
Unit details and rules
Managing faculty or University school:
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| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 3 |
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Prerequisites:
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None |
|---|---|
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Corequisites:
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None |
| Prohibitions:
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MATH1002 or MATH1902 |
| Assumed knowledge:
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Coordinate geometry, basic integral and differential calculus, polynomial equations and algebraic manipulations, equivalent to HSC Mathematics |
At the completion of this unit, you should be able to:
- LO1. represent vectors both algebraically and geometrically in R2 and R3
- LO2. perform operations on vectors (addition, scalar multiplication, dot and cross products)
- LO3. find equations of lines and planes in R3
- LO4. perform arithmetic operations in Zn
- LO5. understand how to use a check digit code vector
- LO6. solve systems of linear equations using Gaussian elimination
- LO7. set up systems of linear equations to model real-world situations
- LO8. add and multiply matrices, and be able to find inverses
- LO9. find a steady-state vector for a Markov process
- LO10. understand how Leslie matrices are used to model population growth
- LO11. calculate eigenvalues and eigenvectors of 2 × 2 and 3 × 3 matrices.
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