Course title
V0640600
Matrix Analysis

 ozaki katsuhisa Click to show questionnaire result at 2017
Course description
The matrix analysis is basic of numerical linear algebra. Structure and properties of matrices are first introduced. Next, students learn norms of vectors and matrices. Finally, students will know how matrix is applied to scientific problems.
Purpose of class
The purpose of this lecture is to understand structure and properties of matrices. Since matrix computations are basic of scientific computing, to understand matrix theory is important.
Goals and objectives
  1. Understanding structure of matrices
  2. Understanding norm of vectors and matrices
  3. Understanding applications of matrix computations
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Structured matrix multiplication review of basic linear algebra 190minutes
2. Matrix determinant and inverse matrix review of basic linear algebra 190minutes
3. Eigenvalue review of basic linear algebra 190minutes
4. Diagonal dominant review of Jacobi method 190minutes
5. Positive definiteness review of basic linear algebra 190minutes
6. Orthogonal matrix review of Gram-Schmidt orthonormalization 190minutes
7. Examination and its explanation review of all topics 190minutes
8. Norms for vectors, 1-norm and maximum norm for matrices review of basic linear algebra 190minutes
9. Matrix 2-norm review of the definition of the matrix p-norm 190minutes
10. Condition numbers review of norms 190minutes
11. Eigenvalue problems review of basic linear algebra 190minutes
12. Least square problem review of regression line 190minutes
13. Ordinary differential equation and matrices review of ODE 190minutes
14. Examination and its explanation review of all topics 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 exam1 exam2 Total.
1. 50% 50%
2. 25% 25%
3. 25% 25%
Total. 50% 50% -
Evaluation method and criteria
Basically two examinations
Textbooks and reference materials
no material
Prerequisites
review of basic linear algebra
Office hours and How to contact professors for questions
  • Lunch Time on Monday
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic self-management skills
Active-learning course
N/A
Last modified : Wed Oct 17 07:49:18 JST 2018