Author: Teresa Jurlewicz, Zbigniew Skoczylas. Definicje, twierdzenia, wzory;  Mostowski A. Jurlewiczz of Exact Sciences. The main aim of study: The whole-number operations of addition, subtraction, multiplication and division and their properties form the foundation of arithmetic.
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Definicje, twierdzenia, wzory;  Mostowski A. Additional information registration calendar, class conductors, localization and schedules of classes , might be available in the USOSweb system:. Organized by: Faculty of Mathematics and Computer Science. Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study. The evaluation of the lecture is the evaluation of a multiple-choice test to check the learning outcomes in terms of: e1 - e8.
The positive evaluation of the two colloquia is a prerequisite for admission to the test. The positive evaluation of the test is a prerequisite to get the final grade. In special cases, the assessment may be increased by half a degree. The greatest common divisor. Euclidean algorithm. Prime numbers. Modular arithmetic. Diophantine equations. Groups, rings, fields. Ring of polynomials.
Matrices, determinants. Vector spaces. Vector space Rn. Linear independence. Basis of linear space. Systems of linear equations. Gauss-Jordan elimination method. Theorem of Cramer. Theorem of Kronecker-Capelli. Linear transformations. Matrix representation of linear transformation. Lines, planes, hyperplanes in Rn. The purpose of this course is to present basic concepts and facts from number theory and algebra of fundamental importance in the further education of information technology - including issues relating to divisibility, modular arithmetic, matrix calculus and analytic geometry.
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JURLEWICZ SKOCZYLAS ALGEBRA LINIOWA 2 PRZYKADY ZADANIA PDF
User Name. Remember Me. If you do not know it all, or do not remember, either from reading previous articles, or the lessons of school, we suggest you should recall information about how to describe straight lines and planes. In this article we will tell how lines and planes can be positioned in relation to each other and how to determine if they intersect or not, and at what point. Therefore you might want to check a few simple examples of mastery of this material. We encourage you to fix it yourself without looking for solutions. Just substitute the coordinates of the vector and the coordinates of the corresponding equations.
Jurlewicz.skoczylas - Algebra Liniowa 2 - Przykłady I Zadania
Definicje, twierdzenia, wzory;  Mostowski A. Additional information registration calendar, class conductors, localization and schedules of classes , might be available in the USOSweb system:. Organized by: Faculty of Mathematics and Computer Science. Lecture, discussion, working in groups, heuristic talk, directed reasoning, self-study.
Algebra Liniowa 2 - Przykłady I Zadania, Jurlewicz, Skoczylas, Gis 2003
Objectives of the course: Introduction to linear algebra. Basic algebraic structures groups, fields, linear spaces and properties of algebraic operations. Applications of matrices, elementary matrix operations, determinants and vectors to the analysis of the following three, stricly connected problems:. Cartesian products. Relations orderings, partitions and equivalence relations.