Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 14  Semester Spring 
Course type Spring  Course code 021703
Instructor(s)
津田 照久   [TSUDA Teruhisa]
Facility affiliation Graduate School of Engineering Office   Email address

Course description
Linear algebra provides indispensable tools to analyze various mathematical phenomena appearing in engineering. In this course, we will learn various computations based on matrices so that we can treat more abstract notions such as vector spaces at hand.
Expected Learning
The goal of this course is to be capable of performing basic operations on matrices.
Course schedule
1. Definition of matrices
2. Matrix operations
3. Block divisions of matrices
4. Elementary transformations, row echelon form of matrices and ranks
5. Solving systems of linear equations
6. Regular matrices and their inverses
7. Exercises
8. Permutations I
9. Permutations II
10. Determinants I
11. Determinants II
12. Exercises on calculations of determinants
13. Cofactor matrices and Cramer’s formula
14. Exercises for all the contents
15. Term examination
Prerequisites
Nothing in particular
Required Text(s) and Materials
Nothing in particular. But, you should have at least one book on “linear algebra”.
References
Miyake Toshitsune, “Nyuumon-Senkei-Daisuu”, Baifu-kan, etc.
Assessment/Grading
By the term examination (and some reports).

Message from instructor(s)
Try to solve many problems and exercises.
Course keywords
matrix, rank, how to solve system of linear equations, determinant, inverse matrix
Office hours
Remarks 1
Remarks 2
Related URL
Lecture Language
Language Subject
Last update
3/7/2018 1:31:24 PM