Course title
310033N11
Linear Algebra 2

 SEKISAKA Ayuki
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Bioscience 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
To be able to deal with matrices and determinants.
Course description
This is a continuation of Linear Algebra 1. We learn matrices and determinants. We learn the definition of determinant and the formula for inverse matrices. We learn inner products, orthonormal bases, eigenvalues, eigenvectors and diagnalization.
Goals and objectives
  1. To be able to compute determinants
  2. To understand relation between determinant and invertibility
  3. To be able to diagonalize matrices
  4. To be able to diagonalize real symmetric matrices by orthogonal matrix
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term examination Term-end examination Total.
1. 20% 10% 30%
2. 20% 10% 30%
3. 0% 40% 40%
Total. 40% 60% -
Evaluation method and criteria
Mid-term exam (40%) and final exam (60%).
If quizzes or reports are assigned, these will be taken into account.
Specifically, let A be the score of the midterm exam on a 40-point scale, let B be the score of the final exam on a 60-point scale and let C be the score of a quiz or a report on a 20-point scale.
Then min{A+B+C,100} is the final grade.
If the final grade is greater than or equal to 60, you will have a passing grade.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Definition of determinant Review of Linear Algebra 1 200minutes
2. Computation of determinants by Gaussian elimination Review 200minutes
3. Matrix product and determinant Review 200minutes
4. Cofactor expansion Review 200minutes
5. Determinant and inverse Review 200minutes
6. Applications of determinants Review 200minutes
7. Mid-term examination and comments on it Review all 200minutes
8. Linear space and its basis Review 200minutes
9. Eigenvalues and eigenvector Review 200minutes
10. Diagonalization of square matrices Review 200minutes
11. Gram-Schmidt orthonormalization Review 200minutes
12. Diagonalization of real symmetric matrices Review 200minutes
13. Applications of diagonalization Review 200minutes
14. Term-end examination and comments on it Review all 200minutes
Total. - - 2800minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback outside of the class (ScombZ, mail, etc.)
Textbooks and reference materials
Will be announced in the first lecture.
Prerequisites
Office hours and How to contact professors for questions
  • Will be announced in the first lecture.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is 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
Last modified : Wed Apr 29 11:45:02 JST 2026