2019 Linear Algebra and Its Applications

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Academic unit or major
Undergraduate major in Mathematical and Computing Science
Instructor(s)
Fukuda Mituhiro  Yamashita Makoto 
Class Format
Lecture / Exercise     
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(W833)  Fri3-4(W833)  
Group
-
Course number
MCS.T203
Credits
2
Academic year
2019
Offered quarter
1Q
Syllabus updated
2019/3/18
Lecture notes updated
2019/6/8
Language used
Japanese
Access Index

Lecture

Lecture 1 Introduction

2019.4.9(Tue.) 3-4Session

Lecture

Lecture 2 N-dimensional vector space part I: vector space, linear dependence/independence, subspaces, norms, and inner product

2019.4.12(Fri.) 3-4Session

Lecture

Lecture 3 Linear mapping, interpretations of linear system of equations

2019.4.16(Tue.) 3-4Session

Lecture

Lecture 4 Numerical methods for determinants and linear system of equations

2019.4.19(Fri.) 3-4Session

Lecture

Lecture 5 Dimension, basis and orthogonal complement of an n-dimensional vector space

2019.4.23(Tue.) 3-4Session

Lecture

Lecture 6 Orthogonal projection (linear subspace, least square method)

2019.4.26(Fri.) 3-4Session

Lecture

Lecture 7 Operations (direct sum) involving linear subspaces

2019.5.10(Fri.) 3-4Session

Lecture

Lecture 8 General assignment to check the comprehension

2019.5.14(Tue.) 3-4Session

Lecture

Lecture 9 Computation using MATLAB

2019.5.17(Fri.) 3-4Session

Lecture

Lecture 10 Quadratic forms and eigenvalues

2019.5.21(Tue.) 3-4Session

Lecture

Lecture 11 Quadratic forms and eigenvalues (continuation)

Lecture

Lecture 12 Considerations about the general assignment to check the comprehension

2019.5.28(Tue.) 3-4Session

Lecture

Lecture 13 Contour lines of quadratic forms and triangulation of matrices

2019.5.31(Fri.) 3-4Session

Lecture

Lecture 14 Georsgorin Theorem, singular value decomposition

2019.6.4(Tue.) 3-4Session

Lecture

Lecture 15 Computation of the singular value decomposition

2019.6.7(Fri.) 3-4Session

End of Term Examination

Lecture 16  

2019.6.11(Tue.) 3-4Session

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