Linear Algebra

Type of study	Bachelor
Language of instruction	Czech
Code	470-2201/01
Abbreviation	LA1
Course title	Linear Algebra
Credits	4
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. RNDr. René Kalus, Ph.D.

Subject syllabus

Systems of linear algebraic equations (SLAE)
Matrix calculus
Linear vector spaces (LVS)
Solvability of SLAE
Linear mappings of LVS
Linear, bilinear(, and multilinear) forms
Quadratic forms
Determinants
Scalar product, orthogonality of vectors
Orthogonal projections
Spectral analysis of square matrices

Literature

G. Strang, Video lectures of Linear Algebra on MIT.
R.A. Horn, C.R. Johnson, Matrix Analysis. Cambridge University Press 1990.
Y. Saad. Iterative Methods for Sparse Linear Systems. SIAM 2003.

Advised literature

G.H. Golub, C.F. Van Loan, Matrix Computations. The Johns Hopkins University Press 2013.
L.N. Trefethen, D. Bau. Numerical Linear Algebra. SIAM 1997.
J. Liesen, Z. Strakoš, Krylov Subspace Methods: Principles and Analysis. Oxford University Press 2012.

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