MFCS
14 March -- 2022
Tentative Schedule
- Lecture 1: Overview
- Lecture 2: Theory of matrices -- basic matrix operations from the point of system of linear equations.
- Lecture 3: Combinatorial interpretation of matrix operations, Interpretations of Determinant.
- Lecture 4: Multilinear definition of Determinant.
- Lecture 5: Combinatorial interpretation.
- Lecture 6: Combinatorial proof of Cayley-Hamilton and combinatorially computing the determinant using clows.
- Lecture 7: Inner products, Norms, Orthogonality, Gram-Schmidt Orthogonalization (QR factorization).
Notes will be updated after every lecture.
References
Books and Papers
- Brualdi-Ryser.
- Trefethen-Bau.
-
-
Homework