Course title
310033P21
Linear Algebra 2

 KAMEKO Masaki
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Software Course DP-1・3・1 自然科学、情報技術に関する基礎的知識を理解し、利用できる。
Purpose of class
Students will acquire the ability to compute determinants and understand determinants, their properties, and their relationship to inverse matrices. Furthermore, they will learn how to diagonalize matrices and orthogonally diagonalize real symmetric matrices.
Course description
This course is a continuation of Linear Algebra I and covers the theory of matrices. The first half deals with determinants, their properties, computational techniques, and their relationship to inverse matrices. The second half develops the theory of matrix diagonalization by extending the diagonalization of 2×2 matrices studied in Linear Algebra I, and concludes with the orthogonal diagonalization of real symmetric matrices.
Goals and objectives
  1. Students will acquire the ability to compute determinants.
  2. Students will be able to compute determinants and understand the relationship between determinants and inverse matrices.
  3. Students will be able to diagonalize square matrices.
  4. Students will be able to orthogonally diagonalize real symmetric matrices.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term Final Quizzes Total.
1. 10% 0% 10% 20%
2. 20% 0% 10% 30%
3. 0% 15% 10% 25%
4. 0% 15% 9% 24%
Total. 30% 30% 39% -
Evaluation method and criteria
Final 30%, mid-term 30% quizzes 40%, passing grade=60%
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Review of Linear Algebra I and the Definition of Determinants Review of Linear Algebra 1 200minutes
2. Computing Determinants Using Gaussian Elimination Review of the previous class 200minutes
3. Cofactor Expansion Review of the previous class 200minutes
4. Determinants and Inverse Matrices Review of the previous class 200minutes
5. Applications of Determinants Review of the previous class 200minutes
6. Mid-erm examination and review Review of the previous class 200minutes
7. Vector Spaces and Bases Review of the previous class 200minutes
8. Linear Transformations and Matrix Representations Review of the previous class 200minutes
9. Inner Product Spaces and the Gram–Schmidt Orthonormalization Process Review of the previous class 200minutes
10. Eigenvalues and Eigenvectors Review of the previous class 200minutes
11. Diagonalization of Square Matrices Review of the previous class 200minutes
12. Diagonalization of Real Symmetric Matrices Review of the previous class 200minutes
13. Applications of Diagonalization Review of the previous class 200minutes
14. Final examination and review Review of the previous class 200minutes
Total. - - 2800minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
教科書：三宅敏恒著、入門線形代数、培風館
参考書：長谷川浩司著、線型代数、日本評論社
線形代数Iで使った教科書を引き続き使用しても構わない。
Prerequisites
Linear Algebra 1
Office hours and How to contact professors for questions
  • Before and after class (Students are also encouraged to make active use of the Learning Support Center.)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
  • Non-social and professional independence development course
Active-learning course
Most classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Wed Jul 22 04:02:54 JST 2026