- Lecturer
- Brezina Jan
- Place
- Wed1-2(H115)
- Credits
- Lecture2 Exercise0 Experiment0
- Code
- 1181
- Syllabus updated
- 2015/10/14
- Lecture notes updated
- 2015/11/4
- Semester
- Fall Semester / Recommended semester:2
Outline of lecture
Linear Algebra II B is the continuation of Linear Algebra I. It focuses on explanation of rigorous theory behind the calculations presented in Linear Algebra I.
Purpose of lecture
To develop and strengthen the understanding of what was explained in Linear Algebra I course.
Plan of lecture
1. Vector space, subspace, linear transformation, linear combination
2. Linear independence of vectors, basis, dimension
3. Inner product, norm, Schwartz inequality
4. Orthonormal basis, Gram-Schmidt orthonormalization
5. Unitary matrices, orthogonal matrices
6. Existence of a basis, transformation of basis
7. Matrix representation of linear mappings
8. Eigenvalue, eigenvector, eigenspace, characteristic function
9. Diagonalization of square matrices
Textbook and reference
You will have English handouts.
Recommend to read "Linear Algebra: A Modern Introduction" by David Poole, 3rd or newer edition. Not required to buy.
Related and/or prerequisite courses
You are required to register together with the course "Exercise in Linear Algebra II (Course no. 1381)".
You can't only take "Linear Algebra II B (Course no. 1181)".
Evaluation
Based on the results of tests, mid-term exam and final exam. Same as in Linear Algebra I. Details to be explained during first class.
Comments from lecturer
The course will contain the same amount of mathematical knowledge as Japanese courses, but with the advantage of learning mathematical English.
Contact Information
Email : brezina.j.aaﾂｼm.titech.ac.jp
Office : Room 219, Main Bldg., Ookayama
Office Hours
After an email contact. Details to be explained during first class.
