Linear Algebra
Teachers KUROSAWA, Yoshio Year 1　1st semest [Department of Mechanical and Precision System, Faculty of Science and Engineering] Basic Major Subjects Elective Requisites　2credit 1A203

#### Course Description

This course relates to numerical calculations, vibration, robotics, etc. Specifically, the following themes are taught.
Elementary operations of vectors, inner product and outer product of vectors, operations of matrix, determinant, cofactor matrix, inverse matrix, solution of simultaneous linear equations using determinant, eigenvalue and eigenvector, diagonalization of matrix, etc.
In this class, it acquires knowledge, technology and ability about diploma policy 2.

#### Course Objectives

Linear algebra is a field of mathematics used as the foundation when studying natural science and engineering with calculus. This course aims to have the students master the basic knowledge of linear algebra, and to provide training in developing problem solving skills.

・Term-end examination : 65%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 15%
Students will not be evaluated when they are not attending lectures more than 2/3. Small test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.

#### Textbook and Reference

KindTitleAuthorPublisher
Textbookbasics of science and technology Linear algebraShigeru IshiharaShokabo
ISBN978-4-7853-1093-6
References

#### Requirements(Assignments)

Each blackboard photos will be uploaded on the LMS until the next lecture, so please check the content and review it. In addition, please prepare and review the exercises in the scope of the lecture for about 3 hours each time.

#### Note

If you’re absent from lecture, please study and revise the topics taught on that day.

#### Schedule

1Sum, difference, constant, inner product of vector
2Outer product of vector
3Sum, difference, product of matrix
4Transposed matrix, symmetric matrix, skew-symmetric matrix, inverse matrix
5Calculation of determinant
6Property of determinant
7Calculation of determinant by cofactor expansion
8Inverse matrix is calculated by cofactor matrix
9Short examination, solution of the coalition linear equation
10Commentary of the short examination and summary of the first half
11Rank of matrix, solution of inverse matrix by method of elimination
12Linear independence, linear dependence
13Linear transformation
14Eigenvalue and eigenvector
15Diagonalization of matrix