vector spaces, matrices, systems of linear equations and their solutions
Abstract:
Vector spaces (linear combinations, linear independence, dimension, basis, coordinates). Matrices and operations. Systems of linear equations and their solvability. Determinants and their applications. Scalar product. Similarity of matrices (eigenvalues and eigenvectors). Quadratic forms and their classification.
Objectives:
Learning basic concepts and methods of linear algebra and their applications in solving standard examples.