Trinity College Dublin

Linear Algebra Syllabus

• Vectors, geometric, norm, vector addition, dot product, equality, application of angle between vectors as measure of genetic distance
• Systems of linear equations and Gauss-Jordan elimination; application to the geological science of mineralogy
• Matrices, inverses, diagonal, triangular, symmetric, trace, geographical distribution, probability matrices, and application to colour
• Determinants, evaluation by row operations and Laplace expansion, properties, vector cross products, eigenvalues and eigenvectors
• Differential equations, system of first order linear equations, applications to population dynamics, linear second order equations.

Tutorials

References

1. H. Anton & R. C. Busby, Comtemporary Linear Algebra, John Wiley
2. H. Anton & C. Rorres, Elementary Linear Algebra: applications version, John Wiley
3. David Poole, Linear Algebra: a modern introduction, Thomson Brooks-Cole
4. David C. Lay, Linear Algebra and its applications, Addison-Wesley Longman
5. Ron Larson & B. Edwards, Elementary Linear Algebra, Houghton Mifflin Company

This web page has been updated on 2009-07-06 by N. H. Buttimore <mathdep@maths.tcd.ie> and may be checked for validity.

School of Mathematics Trinity College Dublin · College Green · Dublin 2 · Ireland   Tel: +353-1-896-1000

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