January 2024 semester 

MT1223: Linear Algebra

Course contents: Vector space structure on R^n, matrix operations and systems of linear equations, Gauss-Jordan elimination, matrix inversion, determinants, subspaces, linear combinations, basis and dimension, linear transformations and geometry, Rank-Nullity theorem, coordinates and change of basis, dot product on R^n, orthogonality and Gram-Schmidt process, eigenvalues and eigenvectors, diagonalizability,  applications to linear ODE, discrete dynamical systems, least squares method 

The primary reference for this course is the book Linear algebra with applications by Otto Bretscher. Details about the course are available on the Piazza page of the course.