Linear Algebra B2
Code  Completion  Credits  Range  Language 

01LAB2  Z,ZK  4  1+2  Czech 
 Course guarantor:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Mathematics
 Synopsis:

The subject summarizes the most important notions and theorems related to the matrix theory, to the study of vector spaces with a scalar product and to the linear geometry.
 Requirements:

01LALA or 01LALB
 Syllabus of lectures:

Matrices and systems of linear algebraic equations  determinants  scalar product and orthogonality  eigenvalues and eigenvectors of matrices  linear geometry in Euclidean space
 Syllabus of tutorials:

1. Solving systems of linear algebraic equations
2. Calculation of inverse matrices using the Gauss elimination
3. Permutations and determinants
4. Searching for orthogonal and orthonormal bases, application of the GramSchmidt orthogonalization method, calculation of orthogonal projections of vectors
4. Computation of eigenvalues and eigenvectors of matrices
5. Distinct descriptions of linear manifolds and convex sets, computation of intersections of linear manifolds
 Study Objective:

Knowledge:
Basic notions from the matrix theory, notions related to the scalar product and the linear geometry from the theoretical point of view.
Abilities:
Application of the knowledge in practical problems.
 Study materials:

Key references:
[1] H. G. Campbell, Linear Algebra with Applications, PrenticeHall, Inc., Englewood Cliffs, New Jersey, 2nd edition, 1980
[2] C.W.Curtis, Linear Algebra, An Introductory Approach, SpringerVerlag, New York, Berlin, Heidelberg, Tokyo, 1974, 4th edition, 1984
Recommended references:
[3] P. Lancaster, Theory of Matrices, Academic Press, New York, London, 1969
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: