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].

Písemné testy během semestru, stanovené úkoly, klasifikovaný zápočet.