Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 14  Semester 1st 
Course type 1st  Course code 021902
Instructor(s)
直井 克之   [NAOI Katsuyuki]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  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.
Corresponding criteria in the Diploma Policy: See the Curriculum maps.
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
midterm examination
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. Exercise
Term examination
Prerequisites
In addition to 30 hours that students spend in the class, students are recommended to prepare for
and revise the lectures, spending the standard amount of time as specified by the University and
using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
入門線形代数(三宅敏恒)培風館
References
線形代数演習(斎藤正彦)東京大学出版会
Assessment/Grading
Midterm exam. 50%, Term-end exam. 50%
Message from instructor(s)
Course keywords
Matrix, Rank, System of linear equations, Determinant, Inverse matrix
Office hours
After the class
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
1/28/2021 12:29:35 PM