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LINEARNA ALGEBRA I ANALITIČKA GEOMETRIJA


Semester: 1
ECTS: 5
Status: Obavezan
Lessons: 2+2+0
Double: Ne
ECTS catalogue
Learning outcomes:

On successful completion of the course, students will be able to: - define basic mathematical concepts (set, relation, function, mapping) - define basic algebraic structures (groupoids, semigroups, monoide, groups, rings, fields) - define concepts of vector spaces, subspaces, basis and dimension, linear dependence (independence) of vectors, determinant, matrix and rank, linear mapping of vector spaces, conjugated and self-conjugated operator, orthogonal and normal operator - calculate the value of a determinant and master matrix calculations, especially calculating the inverse matrix - solve a system of linear equations (using the Cramer rule, Cronecker-Capelli theorem, Gauss algorithm, with proof and discussion ) - define matrix similarity, find eigenvalues and eigenvectors of a matrix and write the Jordan canonic form of a matrix - describe the line and plane, write corresponding equations in scalar form and solve suitable problems - describe second order surfaces (cylindric, conic, spheric and rotational, ellipsoids, hyperboloids and paraboloids ), write their equations and solve suitable problems

Teaching staff

Name Lectures Exercises Laboratory
DUŠICA SLOVIĆ2x0
MARIJAN MARKOVIĆ2x0
1P
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