Advanced Linear Algebra

This course is designed to enhance the understanding of the principles underlying the subject and to prepare students to take more advanced courses in Mathematics and engineering (e.g. Machine learning, Advanced Matrix Theory, Algebraic Coding Theory).

1. Students are able to write down formal Mathematical proofs
2. Students are able to solve mathematical problems involving matrices using advanced linear algebra tools.
3. Students are able to classify matrices and linear operators defined on finite-dimensional vector spaces.
4. Students are able to solve mathematical problems based upon Bilinear algebra.
5. Students are able to determine best approximate solutions of inconsistent system of linear equations.