• Fields. Complex numbers. Matrices. Linear equations - solution by elimination. Invertible matrices. Determinants. Linear spaces: basis and dimensions. Linear transformations: representation by matrices, similarity, characteristic values, diagonalization. Cayley-Hamilton theorem. Minimal polynomial. Jordan Normal Form. Inner product spaces. Gram-Schmidt process. Unitary and Hermitian transformations. Quadratic forms. Symmetric matrices.

  • 2022-Winter

2022-Winter