- School of Science
- School of Engineering
- Group 2
- Group 3
- Group 4
- Group 5
- Group 6
- Metallurgical Engineering
- Organic and Polymeric Materials
- Inorganic Materials
- Chemical Engineering Course
- Chemical Engineering Course(Chemical Engineering)
- Applied Chemistry Course(Chemical Engineering)
- Polymer Chemistry
- Mechanical Engineering and Science
- Mechanical and Intelligent Systems Engineering
- Mechano-Aerospace Engineering
- International Development Engineering
- Control and Systems Engineering
- Industrial and Systems Engineering
- Electrical and Electronic Engineering
- Computer Science
- Civil Engineering
- Architecture and Building Engineering
- Social Engineering
- Common Cource of Engineering

- School of Bioscience and Biotechnology
- Common Course of Undergraduate School

- Graduate School of Science and Engineering
- Mathematics
- Physics(Particle- Nuclear- and Astro-Physics)
- Physics(Condensed Matter Physics)
- Chemistry
- Earth and Planetary Sciences
- Chemistry and Materials Science
- Metallurgy and Ceramics Science
- Organic and Polymeric Materials
- Applied Chemistry
- Chemical Engineering
- Common Course of Mechanical Engineering
- Mechanical Sciences and Engineering
- Mechanical and Control Engineering
- Mechanical and Aerospace Engineering
- Common Course of Electronic Engineering
- Electrical and Electronic Engineering
- Physical Electronics
- Communications and Integrated Systems
- Communications and Computer Engineering
- Civil Engineering
- Architecture and Building Engineering
- International Development Engineering
- Nuclear Engineering

- Graduate School of Bioscience and Biotechnology
- Interdisciplinary Graduate School of Science and Engineering
- Built Environment
- Energy Sciences
- Computational Intelligence and Systems Science
- Electronic Chemistry
- Materials Science and Engineering
- Innovative and Engineered Materials
- Environmental Chemistry and Engineering
- Environmental Science and Technology
- Mechano-Micro Engineering
- Information Processing
- Electronics and Applied Physics

- Graduate School of Information Science and Engineering
- Graduate School of Decision Science and Technology
- Graduate School of Innovation Management
- Common Course of Graduate School
- Program for Leading Graduate Schools

- 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

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.

To develop and strengthen the understanding of what was explained in Linear Algebra I course.

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

You will have English handouts.

Recommend to read "Linear Algebra: A Modern Introduction" by David Poole, 3rd or newer edition. Not required to buy.

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)".

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.

The course will contain the same amount of mathematical knowledge as Japanese courses, but with the advantage of learning mathematical English.

Email : brezina.j.aaﾂｼm.titech.ac.jp

Office : Room 219, Main Bldg., Ookayama

After an email contact. Details to be explained during first class.