Course title
線形代数学Ⅱ   [Linear Algebra Ⅱ]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	1～4	Semester	Fall
Course type	Fall	Course code	021716
Instructor(s)
前田 博信   [MAEDA Hironobu]
Facility affiliation	Faculty of Engineering	Office		Email address

Course description

Linear algebra provides indispensable tools to analyze various mathematical phenomena appearing in engineering. In this course, the notion of a vector space and a linear map between two vector spaces will be introduced. We will learn various basic properties of a basis and the dimension of a vector space, and the image and the kernel of a linear map. We will also learn about an eigenvalue and an eigenvector, for deep understanding of linear algebra.

Expected Learning

The goals of this course are (1) to understand vector spaces, linear maps, eigenvalues, eigenvectors, inner products and diagonalization, and (2) to be capable of performing their practical calculations.

Course schedule

1. Vector spaces 2. Vector spaces and their subspaces 3. Linear independence and linear dependence 4. Maximum of linearly independent vectors 5. Bases and dimensions of vector spaces 6. Linear maps 7. Representation matrices of linear maps 8. Exercises, or midterm examination 9. Eigenvalues and eigenvectors 10. Diagonalization of square matrices 11. Inner products and complex numbers 12. Orthonormalization and orthogonal matrices 13. Diagonalization of real symmetric matrices 14. Cayley-Hamilton theorem 15. Term examination

Prerequisites

Knowledge of the course of Linear Algebra I will be used in the lecture.

Required Text(s) and Materials

References

Assessment/Grading

Message from instructor(s)

Course keywords

Vector space, Linear map, Linear independence and linear dependence, Basis, Dimension, Eigenvalues and eigenvectors, Diagonalization of real symmetric matrix

Office hours

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/22/2018 9:45:13 AM