Special Topics in Algebra
- Preliminaries
- Vector spaces
- Linearly independence and basis-change of basis
- Matrices and properies
- Determinant and properties
- Leading principal minors
- Involutory matrix and inverses of a matrix
- System of algebraic-linear equations-Linesr programming-Gauss Jordan elimination
- LU factorization for solving a system of algebraic linear equations
- Cholesky factorization
- Column and row space-null space
- Gram Schmidt orthogonality process
- Least square problem
- Inner product spaces