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Linear Algebra (470-2205/02, 470-2201/03)
Summer Term 2023/2024
All the lectures and seminars are conducted regularly, i.e., in person, in an assigned classroom within the FEI building.
- Students are expected to attend at least 80% of lectures and seminars.
- The primary source of information is the course page in LMS MOODLE
- You can also find general official information about the course in IS EDISON
Hours of Instruction
| Day | Time | Room | |
|---|---|---|---|
| Lecture | Wednesday | 9:00 - 10:30 | EB129 |
| Discussion | Wednesday | 10:45 - 12:15 | EB155 |
Office Hours
| Day | Time | Room |
|---|---|---|
| Monday | 9:30 - 10:30 | EA 533 |
Also at different times, after previous per-email agreement.
If you have questions related to the course, the best way to contact me is through email.
tereza.kovarova@vsb.cz
I will try to respond as soon as possible, however allow at least two days to get impatient.
| In case of need of in person consultation you can find me in my office during the Office Hours in the building of FEI. |
| Please email me in advance to let me know about your intention to visit during my office hours. |
| office room EA533, tel: 59 732 5870 |
Content of the Course
All the up-to-date materials are available in LMS MOODLE.Lectures
- Motivation Lecture
- Matrix Algebra
- Systems of Linear Equations
- The Inverse of a Matrix
- Vector Spaces and Subspaces
- Linear Independence, Basis
- Dimension of a Vector Space, Rank
- Linear Mappings and Transformations
- Bilinear Forms
- Quadratic Forms
- Scalar Product, Orthogonality
- Determinants
- Introduction to Spectral Theory
- Exam Review
Seminars
- Complex Numbers
- Basic Vector and Matrix Algebra
- Solving Systems of Linear Equations
- The Inverse of a Matrix
- Vector Spaces and Subspaces
- Linear Combinations, Linear Dependence and Independence of Vectors, Basis
- Vector Coordinates, Matrix Rank, Rank and Consistency of a Linear System
- Linear Mapping, Kernel, Range, Matrix of a Linear Mapping
- Bilinear and Quadratic Forms, Matrix of a Bilinear or a Quadratic form, Classification of Quadratic Forms, Congruence of matrices
- Scalar Product, Orthogonality, Gram-Schmidt Process
- Determinants, Crammer Rule
- Eigenvalues and Eigenvectors, Characteristic Polynomial, Characteristic Equation
- Spectral Decomposition
Final-Exam Dates
Exam dates will be set by the end of classes of the semester.You will need to sign up in IS EDISON for the opened exam dates. You will be notified and bidden to sign up by email.
Recommended study material and literature:
- Lectures slides, seminar notes, and exercises, all available also in Lms Moodle.
- Your notes from lectures and discussions.
- Linear Algebra and Its Applications (4th Edition) by David C. Lay
| Upraveno: 30.01.2023 |