Linear equations, matrices, determinants, vector spaces and inner product spaces. It is required in Honours Mathematics degrees.
Linear algebra is the study of vectors, matrices and linear transformations.
These concepts are used in all areas of mathematics, in all branches of science and in the quantitative aspects of the social sciences. The content of this course is similar to that of MATH 2221 3.0. This course, however, is more theoretical and covers additional topics in linear algebra and its applications. It therefore provides a solid background not only for courses in linear programming and statistics which use linear algebra but also for advanced theoretical mathematics courses such as abstract algebra and functional analysis. The course begins with concrete topics such as the solution of linear systems of equations by Gauss-Jordan reduction, matrices and determinants.