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岎捠丒僉儍儞僷僗儅僢僾
Tokyo University of Agriculture and Technology Division of Mathematical Sciences, Institute of Engineering  
Division of Mathematical Sciences, Institute of Engineering, Tokyo University of Agriculture and Technology

Linear Algebra 嘥
 
Course description
  Linear algebra provides indispensable tools to analyze various mathematical phenomena appearing in engineering. In this course, we will learn various computations based on matrices so that we can treat more abstract notions such as vector spaces at hand.

Expected Learning
  The goal of this course is to be capable of performing basic operations on matrices.
Corresponding criteria in the Diploma Policy: See the Curriculum maps

Course schedule
  1. Definition of matrices
2. Matrix operations
3. Block divisions of matrices
4. Elementary transformations, row echelon form of matrices and ranks
5. Solving systems of linear equations
6. Regular matrices and their inverses
7. Review, and midterm examination
8. Permutations I
9. Permutations II
10. Determinants I
11. Determinants II
12. Exercises on calculations of determinants
13. Cofactor matrices and Cramer乫s formula
14. Exercises for all the contents
15. Review, and Term examination

Prerequisites
  In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below.

Required Text(s) and Materials
  Textbooks will be introduced in the first lecture, if necessary.

References
  Miyake Toshitsune, 乬Nyuumon-Senkei-Daisuu乭, Baifu-kan (in Jananese)

Assessment/Grading
   
Message from instructor(s)
 
Course keywords
  Matrix, Rank, System of linear equations, Determinant, Inverse matrix

Office hours
 

  Division of Mathematical Sciences, Institute of Engineering, Tokyo University of Agriculture and Technology
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