possible research topic for linear algebra
I am an undergraduate student. I have to do a research project for my homework assignment. This is my first maths research so I have no idea what topic should I select and how to start....
I want to do a research which related to Linear algebra because i have just completed this course. Can anyone suggest me the possible and interesting research topics in linear algebra?
Below is the guideline of the research areas which given by my professor:
The areas of research must be mathematics and its applications, such as:
Thank you very much !
- Basic research: algebra, analysis, geometry, probability, statistics, etc.
- Engineering applications: computing, internet, communications, information and digital technology, etc.
- Commercial applications: economics, finance, logistics, management, decision science, operations research, transportation, etc.
- Scientific applications: medicine, physics, chemistry, biology, environment and health problems, etc.
- Innovation designs: image and visualization, games, puzzles, algorithms, etc.