LINEAR ALGEBRA
LINEAR ALGEBRA
Syllabus - A. Bucki
- Matrices; Systems of Linear Equations; Determinants.
- Vector Spaces.
- Subspaces; Subspaces Spanned by Vectors.
- Inner Product; Special Subspaces - Orthogonal Complements;
Orthogonalization; Projections.
- Vector Space of Free Vectors and Applications
in Elementary and Analytic Geometries.
- Vector Space Homomorphisms (Linear Transformations); Isomorphisms;
Matrix Representations of Homomorphisms.
- Special Linear Transformations - Projections, Reflections.
- Special Subspaces - Kernels, Images, Eigenspaces;
Applications - Diagonalization of Matrices; Regressions (Least
Squares Solutions).