Linear Algebra B2
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 01LAB2 | Z,ZK | 4 | 1+2 | Czech |
- Grading of the course requires grading of the following courses:
- Linear Algebra 1 (01LA1)
- Lecturer:
- Lubomíra Balková (gar.), Emil Humhal
- Tutor:
- Lubomíra Balková (gar.), Emil Humhal
- 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:
-
Having the exam in Linear Algebra 1 or Linear Algebra Plus passed.
- 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 Gram-Schmidt 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, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 2nd edition, 1980
[2] C.W.Curtis, Linear Algebra, An Introductory Approach, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1974, 4th edition, 1984
Recommended references:
[3] P. Lancaster, Theory of Matrices, Academic Press, New York, London, 1969
- Note:
- Time-table for winter semester 2011/2012:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: