### 2018　Linear Algebra and Its Applications

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Undergraduate major in Mathematical and Computing Science
Instructor(s)
Fukuda Mituhiro  Yamashita Makoto
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Tue3-4(W833)  Fri3-4(W833)
Group
-
Course number
MCS.T203
Credits
2
2018
Offered quarter
1Q
Syllabus updated
2018/3/20
Lecture notes updated
2018/6/5
Language used
Japanese
Access Index

Lecture

### Lecture 1 Introduction

2018.4.10(Tue.) 3-4Session

Lecture

### Lecture 2 N-dimensional vector space part I: vector space, linear dependence/independence, subspaces

2018.4.13(Fri.) 3-4Session

Lecture

### Lecture 3

2018.4.17(Tue.) 3-4Session

Lecture

### Lecture 4 Linear mapping, interpretations of linear system of equations

2018.4.20(Fri.) 3-4Session

Lecture

### Lecture 5 Numerical methods for determinants and linear system of equations

2018.4.24(Tue.) 3-4Session

Lecture

### Lecture 6 Dimension, basis and orthogonal complement of an n-dimensional vector space

2018.4.27(Fri.) 3-4Session

Lecture

### Lecture 7 Orthogonal projection (linear subspace, least square method)

2018.5.1(Tue.) 3-4Session

Lecture

### Lecture 8 Computation using MATLAB

2018.5.8(Tue.) 3-4Session

Lecture

### Lecture 9 General assignment to check the comprehension

2018.5.11(Fri.) 3-4Session

Lecture

### Lecture 10 Operations (direct sum) involving linear subspaces

2018.5.15(Tue.) 3-4Session

Lecture

### Lecture 11 Quadratic forms and eigenvalues

2018.5.18(Fri.) 3-4Session

Lecture

### Lecture 12 Considerations about the general assignment to check the comprehension

2018.5.22(Tue.) 3-4Session

Lecture

### Lecture 13 Quadratic forms and eigenvalues (continuation)

2018.5.25(Fri.) 3-4Session

Lecture

### Lecture 14 Contour lines of quadratic forms and triangulation of matrices

2018.5.29(Tue.) 3-4Session

Lecture

### Lecture 15 Georsgorin Theorem, singular value decomposition

2018.6.1(Fri.) 3-4Session

Lecture

### Lecture 16 Computation of the singular value decomposition

2018.6.5(Tue.) 3-4Session

Lecture

### Lecture 17 Final exam

2018.6.8(Fri.) 3-4Session

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