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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Some basic information about the module

Lecture, 15 hours more information Tutorials, 30 hours more information. Examination of a function. Write the matrix form of algebraic equations of quadrics in R2 and R3.

Knowledge of activities on real numbers and algebraic expressions. Equations of plane and line. Assessment methods and assessment criteria:. Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system:. The set of complex numbers.


Give example of the canonical form of an antisymmetric matrix. Lines, planes, hyperplanes in Rn. Course descriptions are protected by copyright. This course is related to the following study programmes:.

Convert between polar and Cartesian coordinates. Classes, 15 hours more information Lecture, 15 hours more information.

School of Exact Sciences. After completing this course, student should be able to: Studying the recommended bibliography: Operations on complex numbers.

Mathematics 1

The name of the module department: State the polar decomposition theorem for nonsingular operators. Be able to reduce an equation of second-degree curve in R2 into canonical form.

Algebra liniowa, PWN, Warszawa Limits of sequences and functions. Derive and formulate in terms of the cross product Cramer? Explain the relation between the oriented volume and the generalized cross product of a system of n-1 vectors.

Be able to reduce a quadratic form into canonical form by Lagrange algorithm. Systems of linear equations – Cramer’s rule. The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: Explain the relation between symmetric billinear forms and quadratic forms.


The name of the module: Find the parallel and perpendicular liniows of a vector relative to another vector. Describe the transformation of the matrix of a linear operator under a change of basis.

The positive evaluation of the two colloquia is a prerequisite for admission to the test. Derivative of the function. This course is related to the following study programmes: Solving of any systems of linear equations using Cramer theorem and Kronecker-Cappeli theorem. Basic mathematical knowledge of secondary school. In special cases, the assessment may be increased by half a degree.

Mathematics 1 – Courses – USOSweb – Uniwersytet Przyrodniczy we Wrocławiu

Rectangular and trygonometric form zadanix a complex number. Surfaces and curves of second degree. Give example of the canonical Jordan matrix of a linear operator. Observe that conic sections are curves obtained by intersecting a cone with a plane. Given the matrix find the similarity transformation invariants: Describe line and canonical conics equations in Cartesian and polar coordinates.