SUBJECT
Linear Algebra
lecture + practical
bachelor
2+2
Semester 1
Autumn semester
-
Introduction to Systems of Linear Equations, Gaussian Elimination, Homogeneous Systems, Matrices and Matrix Operations, Rules of Matrix Arithmetic, Different Methods of Finding the Inverse, Determinant, Properties of Determinant Function, Cofactor Expansion, Cramer’s Rule, Vectors in 2D and 3D, Norm, Dot Product, Projection, Cross Product, Lines and Planes, Vector Spaces, Subspaces, Linear Independence.
-
Basis, Dimension, Orthonormal Basis, Gram-Schmidt Process, Change of Basis, Linear Transformations, Kernel, Range, Matrices of Linear Transformations, Similarity, Eigenvalues, Eigenvectors, Diagonalization of Matrices, Symmetric Matrices.
- Gilbert Strang: Introduction to Linear Algebra (Wellesley-Cambridge Press, June 1998)
Recommended literature:
-
Gyapjas Ferenc: Lineáris algebra és geometria (egyetemi jegyzet, 1976)
-
Freud Róbert: Lineáris Algebra, 1996.
-
Rózsa Pál: Lineáris algebra és alkalmazásai, 1976.