Linear Algebra I 線形代数学 I

Course Description

Introductory courses on linear algebra basic to further study in mathematics. Includes vectors, matrices, rank of a matrix, determinants, solutions of systems of linear equations, eigenvalues, eigenvectors and matrix representation of linear transformations. Two periods of lecture and two periods of recitation weekly.

J: 線形代数学の基礎を学ぶ。平面,空間のベクトル,内積,外積,行列,階数,行列式,連立1次方程式の解法,行列の固有値,固有ベクトル,および平面,空間上の線形写像の行列表示などを取り扱う。毎週講義2時限,演習2時限。 E: 線形代数学 I(J)とほぼ同一の内容を英語のテキストを用いて英語で講義する。毎週講義2時限,演習2時限。

Contents of Lectures 10 Lectures / 39 Videos

Basic Information

Sep 06 1. System of Linear Equations

Period 1

Period 2

Sep 13 2. Solution Sets of Linear Systems

Period 1

Period 2

Sep 20 3. Linear Transformations

Period 1

Period 2

Sep 27 4. Matrix Algebra

Period 1

Period 2

Oct 04 5. Properties of Matrix Algebra

Period 1

Period 2

Oct 11 6. Determinants

Period 1

Period 2

Oct 18 7. Applications of Determinants

Period 1

Period 2

Oct 25 8. Vectors and Vector Spaces

Period 1

Period 2

Nov 01 9. Eigenvalues and Eigenvectors

Period 1

Period 2

Nov 08 10. Review

Period 1

Period 2

Review and Exams

Textbook

Linear Algebra and Its Applications, 5th Edition, by David C. Lay, paper back, Pearson, Global Edition

Instructor: SUZUKI‚ Hiroshi 鈴木寛( ICU Professor Emeritus 国際基督教大学 名誉教授) | Language of Instruction: J

Major: Mathematics 数学 | Course ID: MTH103 | Course Schedule: 1/TU,2/TU | Update: 2019.01.28 Category: Major Courses