T. Jurlewicz, Z. Skoczylas – Algebra Liniowa 2 – Definicje, Twierdzenia, – Download as PDF File .pdf), Text File .txt) or read online. Jurlewicz. skoczylas – Algebra Liniowa 2 – Przykłady I Zadania tyczna Wydawnicza GiS, Wrocław [6] T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1. Przykłady i zadania, Oficyna Wydawnicza GiS,. Wrocław [7] M. Gewert. Name in Polish: Elementy algebry liniowej. Main field of study (if Level and form of studies: 1 th level, full time . [2] T. Jurlewicz, Z. Skoczylas, Algebra i geometria analityczna. Przykłady i zadania, Oficyna Wydawnicza GiS, Wrocław

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Limits of sequences and functions. Find the orthogonal complement of a subspace. Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours – can be found in course structure skocczylas of apropriate study programmes.

Faculty of Mathematics and Natural Sciences. Given the matrix of an operator find eigenvalues and eigenvectors.

## Some basic information about the module

Knowledge of mathematics at secondary school level. Be able to reduce a quadratic form into canonical form by orthogonal operators.

Examination of a function. The position in the studies teaching programme: Describe the transformation of the matrix of a linear operator under a change of basis. Skip to main menu Skip to submenu Skip to content. Mathematics – part-time first-cycle studies Mathematics – full-time first-cycle studies Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system: State the definitions and the geometric meaning of the dot and cross product direction perpendicular to two vectors, oriented area of a parallelogram.

Convert between polar and Cartesian jurlewics.

### Mathematics 1 – Courses – USOSweb – Uniwersytet Przyrodniczy we Wrocławiu

Explain the relation between symmetric billinear forms and quadratic forms. Describe the canonical equations of nondegenerate quadrics in Cartesian coordinates.

Explain that similarity of matrices is an equivalence relation. State the definitions of conic sections as loci of points.

Find the parallel and perpendicular components of a vector relative to another vector. Describe the transformation of the matrix of pprzykady quadratic form under a change of basis.

## Mathematics 1

Classes, 15 hours more information Lecture, 15 hours more information. Szlachtowski, Algebra i geometria afiniczna w zadaniach, Wydawnictwo Naukowo-Techniczne, Warszawa Lines, planes, hyperplanes in Rn. The liiniowa common divisor. Operations on complex numbers. Lecture, 15 hours more information Tutorials, 30 hours more information. Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study. Analytical Geometry in plane and space. Derive and formulate in terms of the cross product Cramer?

Two one-hour exams at class times and a final exam. Lecture, 15 hours more information Tutorials, 15 hours more information. The preparation for a Class: Derivative of the function. Systems of linear equations – Cramer’s rule. Give example of the canonical Jordan matrix of a linear operator. Knowledge of activities on real numbers and algebraic expressions.

Definicje, twierdzenia, wzory; [5] Mostowski A.

Given parametric or normal equations establish the relative position between lines, planes and points.