Linear algebra is an algebraic and geometric theory of properties called linearity. This method is the basis of various fields
such as engineering and statistics, and the problem in these fields is often reduced to a problem of linear algebra.

In this class, students learn about matrices and determinants with the goal of solving system of linear equations, and also learn about diagonalization.

In this class, students learn about matrices and determinants with the goal of solving system of linear equations, and also learn about diagonalization.

The purpose of this class is to understand the concept of matrices and determinants, and to be able to calculate them.

- To be able to calculate operations for matrices.
- To be able to solve system of linear equations.
- To be able to calculate determinants.
- To be able to calculate diagonalization.

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1. | Matrix and its operations | Read through the textbook p.13-p.21 and handouts, and solve the exercises before class. Review after class. | 190minutes |

2. | Square matrix of order 2 and its applications | Read through the textbook p.5-p.11 and handouts, and solve the exercises before class. Review after class. | 190minutes |

3. | Inverse and transpose matrix | Read through the textbook p.21-p.27 and handouts, and solve the exercises before class. Review after class. | 190minutes |

4. | Elementary row operations | Read through the textbook p.31-p.37 and handouts, and solve the exercises before class. Review after class. | 190minutes |

5. | Row echelon form and solving system of linear equations | Read through the textbook p.37-p.46 and handouts, and solve the exercises before class. Review after class. | 190minutes |

6. | Calculation of inverse matrix | Read through the textbook p.46-p.48 and handouts, and solve the exercises before class. Review after class. | 190minutes |

7. | Midterm examination and its explanation | Preparation of midterm examination. | 190minutes |

8. | Determinant of matrix of order 2 and 3, and permutation | Read through the textbook p.51-p.60 and handouts, and solve the exercises before class. Review after class. | 190minutes |

9. | Definition and basic properties of determinant | Read through the textbook p.60-p.74 and handouts, and solve the exercises before class. Review after class. | 190minutes |

10. | Cramer's rule and cofactor | Read through the textbook p.74-p.80 and handouts, and solve the exercises before class. Review after class. | 190minutes |

11. | Calculation of determinant | Read through the textbook p.60-p.80 and handouts, and solve the exercises before class. Review after class. | 190minutes |

12. | Eigenvalue and eigenvector | Read through the textbook p.157-p.164 and handouts, and solve the exercises before class. Review after class. | 190minutes |

13. | Diagonalization of square matrix | Read through the textbook p.164-p.168 and handouts, and solve the exercises before class. Review after class. | 190minutes |

14. | Final examination and its explanation | Preparation of final examination. | 190minutes |

Total. | - | - | 2660minutes |

Midterm examination | Final examination | Reports and little examinations | Total. | |
---|---|---|---|---|

1. | 17% | 25% | 42% | |

2. | 3% | 5% | 8% | |

3. | 13% | 20% | 33% | |

4. | 7% | 10% | 17% | |

Total. | 20% | 20% | 60% | - |

Midterm examination(20%), Final examination(20%), Reports and little examinations(60%)

60% if students can understand and solve exercises in the handouts

60% if students can understand and solve exercises in the handouts

- Course that cultivates an ability for utilizing knowledge

Work experience | Work experience and relevance to the course content if applicable |
---|---|

N/A | 該当しない |

Last modified : Wed Mar 23 04:30:46 JST 2022