Linear Algebra
LA-3-BP
Subject | Linear Algebra (LA) |
Guarantee |
Mgr. Vojtěch Růžička, Ph.D. |
Department | Department of Mathematics and Physics |
Specialization | NO |
Profiling subject | YES |
Theory profiling subject | NO |
Final exam | NO |
Multi semestral subject | NO |
Subject is guaranted by other school | NO |
Optionality | Povinný |
Clasification | Klasifikovaný zápočet |
Credits | 3 |
Recommended year/semester | 1/1 |
Number of weeks | 14 |
Celkem (h) | Př. | Cv. | Lab. | Sem. | Kurzy | Praxe | Stáže | Soustř. | Exkurze | Terén | SP | Konzultace | PV | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Matrices: – definition, types of matrices, – operations on matrices, transposition, – elementary operations on matrices, – linear independence of rows and columns, (row/column) rank, inverse matrix. | 8 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Determinants: – definition and properties, Sarrus rule, – Laplace cofactor expansion theorem, – evaluation of inverse matrix using matrix of cofactors. | 8 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Systems of linear algebraic equations: – matrix notation, solvability, homogeneous systems, – Gaussian elimination method and Jordan method, – solution using inverse matrix, Cramer's rule, eigenvalues and eigenvectors of matrices. | 8 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Vectors in the plane and space: – free and fixed vectors, linear independence, basis and coordinates, – scalar, vector and mixed products, – lines and planes in the space. | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Povinná:
Kropáč, J., Vetchý, V. Matice, determinanty, soustavy rovnic. Skriptum. 3. vydání. Brno: Vojenská akademie v Brně, 1999. ii+51 s. Dostupné v knihovně UO pod číslem S-2581/A.
Kuben, J., Račková, P. Vektory a analytická geometrie. Skriptum. Brno: Univerzita obrany, 2014. 33 s. Dostupné z https://moodle.unob.cz/mod/resource/view.php?id=51662 [cit. 2020-07-25].
Kropáč, J., Vetchý, V. Matice, determinanty, soustavy rovnic. Skriptum. 3. vydání. Brno: Vojenská akademie v Brně, 1999. ii+51 s. Dostupné v knihovně UO pod číslem S-2581/A.
Kuben, J., Račková, P. Vektory a analytická geometrie. Skriptum. Brno: Univerzita obrany, 2014. 33 s. Dostupné z https://moodle.unob.cz/mod/resource/view.php?id=51662 [cit. 2020-07-25].
1. semestr – písemné testy během semestru, stanovené úkoly, klasifikovaný zápočet.