Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category		Requirement		Credit	2
Department		Year	1～	Semester	1st
Course type	1st	Course code	01ma1001b
Instructor(s)
西村 滋人   [NISHIMURA Shigeto]
Facility affiliation	Graduate School of Agriculture	Office	3-211	Email address

Course description

In this first introductory course to linear algebra, we will learn about elementary computations in linear algebra based on matrices.

Expected Learning

The goals of this course are (1) to be capable of performing basic operations on matrices. (2) to solve systems of linear equations by the sweeping-out method (3) to be capable of performing their practical calculations of determinant Corresponding criteria in the Diploma Policy: See the Curriculum maps. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ )

Course schedule

(1) Correspondence between systems of linear equations and matrices (guidance) (2) Some definitions and terminologies on matrix (3) Calculations of matrix (4) Elementary transformations (5) Reduced matrices and rank (6) The sweeping-out method to solve systems of linear equations (7) Permutations (8) Definition of determinant; Sarrus' scheme (9) Properties of determinant (Part I) (10) Properties of determinant (part II) (11) Cofactor expansion (12) Cofactor matrices and inverse matrices (13) Exercises on calculations of determinants (14) Cramer’s formula (15) Examination

Prerequisites

Nothing in particular

Required Text(s) and Materials

An introduction to linear algebra ( Toshitune Miyake)　Baifukan

References

Assessment/Grading

Examination (100%)

Message from instructor(s)

Course keywords

Matrix, Rank, Inverse matrix, System of linear equations, Determinant,

Office hours

Office for Part-Time Lecturers

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/28/2019 11:41:43 AM