http://matrix.skku.ac.kr/SKKU-LA/
by Sang-Gu Lee http://matrix.skku.ac.kr/sglee/
http://matrix.skku.ac.kr/LA-K/ (한국어)
http://matrix.skku.ac.kr/LA/ (영어)
**** 선형대수학 우리말 강의 (동영상) ****
[Linear Algebra. Korean]
(디지털 교과서) http://matrix.skku.ac.kr/LA-K/
PBL - Flipped Learning http://youtu.be/Mxp1e2Zzg-A
Lecture 1 Introduction http://youtu.be/w7IzR4nGa3Q
(전자 교과서) http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf
[Linear Algebra Syllabus (선형대수학 수업계획서)]
http://matrix.skku.ac.kr/2017-Album/LA-syllabus.htm
[실습실]
Manual http://matrix.skku.ac.kr/Lab-Book/Sage-Lab-Manual-2.htm
Linear Algebra Simulatihttp://matrix.skku.ac.kr/LinearAlgebra.htm
Chapter 1. Vectors
1.1 벡터 and 1.2 내적 http://youtu.be/aeLVQoPQMpE
1.3 벡터방정식 http://youtu.be/4UGACWyWOgA
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-3-lab.html
Chapter 2. Linear system of equations
2.1 선형연립방정식 http://youtu.be/CiLn1F2pmvY
2.2 Gauss-Jordan 소거법 http://youtu.be/jnC66zvqHJI
http://matrix.skku.ac.kr/2018-album/LA-Sec-2-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-2-2-lab.html
Chapter 3. Matrix and Matrix Algebra
3.1 행렬연산 http://youtu.be/DmtMvQR7cwA
3.2, 3.3 역행렬과 기본행렬 http://youtu.be/GCKM2VlU7bw
3.4 부분공간 http://youtu.be/HFq_-8B47xM
3.5 해공간 3.6 특수행렬 http://youtu.be/daIxHJBHL_g
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-4-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-5-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-6-lab.html
Chapter 4. Determinant
4.1 행렬식 http://youtu.be/DM-q2ZuQtI0
4.2 여인자 전개와 역행렬 http://youtu.be/XPCD0ZYoH5I
4.3 크래머의 법칙 4.4. Appl, 4.5 고유값, 고유벡터http://youtu.be/OImrmmWXuvU
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-5-lab.html
Chapter 6. Linear Transformations
6.1 선형변환 http://youtu.be/YF6-ENHfI6E
6.2 선형변환의 기하학적 의미 http://youtu.be/cgySDj-OVlM
6.3 핵과 치역 http://youtu.be/9YciT9Bb2B0
6.4 선형변한의 합성과 역행렬 http://youtu.be/EOlq4LouGao
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-4-lab.html
LA Midterm Exam http://youtu.be/R3F3VNGH8Oo
Chapter 7. Dimension and Subspaces
7.1 기저와 차원 http://youtu.be/or9c97J3Uk0
7.2 주요 부분공간들 https://youtu.be/BC9qeR0JWis
7.3 Rank Nullity Theorem http://youtu.be/ez7_JYRGsb4
7.4 계수정리 http://youtu.be/P4cmhZ3X7LY
7.5 정사영정리 http://youtu.be/GlcA4l8SmlM
7.6* 최소제곱해 https://youtu.be/BC9qeR0JWis
7.7 Gram-Schmidt의 정규직교화과정 http://youtu.be/gt4-EuXvx1Y
7.8* QR-분해, Householder transformations https://youtu.be/crMXPi2lgGs
7.9 좌표벡터 http://youtu.be/M4peLF7Xur0
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-4-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-7-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-9-lab.html
Chapter 8. Diagonalization
8.1 선형변환의 행렬표현 http://youtu.be/gn5ve1tXD7k
8.2 닮음과 행렬의 대각화 http://youtu.be/xirjNZ40kRk
8.3 직교대각화 http://youtu.be/jimlkBGAZfQ
8.4 이차형식 http://youtu.be/vWzHWEhAd-k
Quadratic Form http://matrix.skku.ac.kr/2014-Album/Quadratic-form/
8.5* Appl of Quadratic Function http://youtu.be/cOW9qT64e0g
8.6 Singular Value Decomposition https://youtu.be/ejCge6Zjf1M
8.7 and 8.8 복소고유값, 복소고유벡터, 정규행렬 http://youtu.be/8_uNVj_OIAk
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-8-lab.html
Chapter 9. General Vector Spaces
9.1 and 9-2 일반벡터공간, 내적공간 http://youtu.be/m9ru-F7EvNg
9.3 동형사상 http://youtu.be/frOcceYb2fc
http://matrix.skku.ac.kr/2018-album/LA-Sec-9-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-9-3-lab.html
Chapter 10. Jordan Canonical Form
10.1 Jordan 표준형 http://youtu.be/NBLZPcWRHYI
10.3 Jordan Canonical Form with Sage http://youtu.be/LxY6RcNTEE0
JCF Project http://matrix.skku.ac.kr/JCF/ ,
Jordan Canonical Forms http://matrix.skku.ac.kr/2008-talks/2008-MA-2008-Ch3.html ,
Generalized Eigenvector JCF - Minimal Polynomial - Canonical Forms
http://matrix.skku.ac.kr/sglee/03-Note/GeneralizedEV-f.pdf
(15 주차) 복습과 프로젝트 발표
Math, Art and 3D Printing http://youtu.be/olTfft1cuGw
PBL 보고서 by 김병찬 &우시명 http://youtu.be/hUDuQ8e8HsU
by 손홍철 http://youtu.be/woyS_EYWiDs
by 박민 http://youtu.be/E-5m65-8Ea8
by 전승준 http://youtu.be/JHT6aTQhr-A
by 김태용, 이학현, 이종화 http://youtu.be/JFVM4KRr2nc
(16주차) 기말고사
http://matrix.skku.ac.kr/2015-Album/CLA-Final-Sample-Exam.pdf
***** Linear Algebra (English) *****
(Linear Algebra Lecture Note in English)
[Linear Algebra, English] 선형대수학 국제어 강의
Linear Algebra, First Class, Syllabus-Review https://youtu.be/43nhECDzfiE
(English Textbook) http://goo.gl/t3JcNP (전자 교과서)
[Lectures Recorded]
http://matrix.skku.ac.kr/2017-Album/2017-Spring-Lectures.htm
http://matrix.skku.ac.kr/2015-LA-FL/Linear-Algebra-Flipped-Class-SKKU.htm
Linear Algebra Lecture Note (Korean) http://matrix.skku.ac.kr/LA-K/
Chapter 1. Vectors
*1.1 Vectors in n-space and *1.2 Inner product and Orthogonality
1.3 Vector Equations of lines and planes https://youtu.be/MR1md8R1T_g
Chapter 2. Linear system of equations
2.1 Linear System of Equations, https://youtu.be/JbfSo5G6JR0
Review https://youtu.be/nhYG5uuGHqU
2.2 Gaussian and Gauss-Jordan elimination, https://youtu.be/ySncbrZTdMk
2.2–2.3 Exercise https://youtu.be/ySncbrZTdMk https://youtu.be/khbfoZBFfvA
2.4 Exercises, https://youtu.be/khbfoZBFfvA
Chapter 3. Matrix and Matrix Algebra
3.1 Matrix operation https://youtu.be/rDt3EOGl9lg
3.2 Inverse matrix https://youtu.be/o2iT6ZT5WIU
3.3 Elementary matrix https://youtu.be/DubGO81dTAI
3.4 (part 1) Subspace https://youtu.be/gNm7yzk8ess
3.4 (part 2) Linear independence https://youtu.be/LswYaDbj4ds
3.5 Solution set of a linear system and matrix https://youtu.be/7zZDGgPGE4s
3.6 Special matrices and Sec 3.8 Exs/Sol https://youtu.be/gve7cYW3W9I
*3.7 LU-decomposition http://youtu.be/lKJPnLCiAVU
Student Review : Ch3-Ch2-Ch1 https://youtu.be/m4ZEHknJMZY
Chapter 4. Determinant
4.1 Definition and Properties of the Determinants https://youtu.be/ltxi0hCUILg
4.2 Cofactor Expansion/ Appl of Determinants https://youtu.be/Yn5qu_062sA
4.3 Cramer's Rule https://youtu.be/rAmfnERqfU8
*4.4 Application of Determinant https://youtu.be/APsZ33BBOVs
4.5 Eigenvalues/Eigenvectors &4.6 Excercise https://youtu.be/s1OI74nr660
Chapter 5. Matrix Model
5.1 Lights out Game http://youtu.be/_bS33Ifa29s
5.2 Power Method http://youtu.be/CLxjkZuNJXw
5.3 Linear Model (Google) http://youtu.be/WNUoXLh8i_E
Project: http://youtu.be/coNq48CW6Pg
- Ch 5 Matrix Model 학생 발표 https://youtu.be/4u9LtmX7lvk
Chapter 6. Linear Transformations
6.1 Matrix as a Function (Transformation) https://youtu.be/Es4BfHnIq7g
6.2 Geometric Meaning of LT (part 1) https://youtu.be/V6m0PKQm6es
(part 2) https://youtu.be/qeRmhJQIphI
6.3 Kernel and Range https://youtu.be/7OfNTNl6IjI
6.4 Composition of LT and Invertibility https://youtu.be/Im7uaogKySw
*6.5 Computer Graphics with Sage https://youtu.be/45zSkGN7inw
6.6 Exercises https://youtu.be/pJgIaHpIhsM
Chapter 6. QnA Review https://youtu.be/snQsn2J_tuA
LA Midterm PBL 1 Presentation https://youtu.be/WG-HFdER5Ro
LA PBL and Ch6 and Ch4 Student Review https://youtu.be/xq4YyRtzTKg
http://matrix.skku.ac.kr/2016-album/LA-Sol-Ch-1-2-3-4-6/index.html
http://matrix.skku.ac.kr/LA-Lab/Solution/
http://matrix.skku.ac.kr/2016-album/LA-Main-Theorems/index.html
Sample Midterm Exam: http://matrix.skku.ac.kr/LA/2016-S-LA-Midterm-Final-Solution.pdf
LA Midterm Exam
http://matrix.skku.ac.kr/2017-Album/2017-S-LA-Midterm-Exam-Final-3.pdf
LA Midterm Exam Sol
http://matrix.skku.ac.kr/2017-Album/2017-S-LA-Midterm-Exam-Solution-Final3.pdf
LA Midterm Exam Sol
http://matrix.skku.ac.kr/2017-Album/LA-Midterm-Exam-Solution.htm (image)
2017 Spring LA Midterm Exam Review https://youtu.be/DOhahD4Nb44
Chapter 7. Dimension and Subspaces
7.1 and 7.2 (Review) Bases and dimensions, Basic spaces
7.3,7.4, 7.5, Rank-Nullity theorem, Rank theorem, Projection theorem
*7.6 Least square solution https://youtu.be/GwHh5lh5wEs
Grade/QnA/ Review: https://youtu.be/eEAHVs351u8
7.7 Gram-Schmidt orthonormalization process https://youtu.be/Px6Gaks9fXQ
* 7.8 QR-Decomposition; Householder
7.9 Coordinate vectors https://youtu.be/VR9FoZDQmAo
Chapter 8. Diagonalization
8.1 Matrix Representation of LT https://youtu.be/LpIR47W_stw
8.2 Similarity and Diagonalization https://youtu.be/wqrLcfSeL8Q
8.3 Diagonalization with orthogonal matrix https://youtu.be/5Sg-Edczw_g
8.4 Quadratic forms and Sec *8.5 Appl. https://youtu.be/mjAr3ddevE8
8.6 SVD and Pseudo-Inverse https://youtu.be/KU5l-XWDJuo
8.7 Complex eigenvalues and eigenvectors https://youtu.be/-l7uTfYHjFU
8.8 Hermitian, Unitary, Normal Matrices https://youtu.be/NRTmmmC-L9k
*8.9 Linear system of differential equations
http://www.hanbit.co.kr/EM/sage/1_chap6.html
Chapter 9. General Vector Spaces
9.1 Axioms of Vector Space, https://youtu.be/RnKjspG65AM
9.2 Inner product spaces; *Fourier Series, https://youtu.be/J0s8AkP4E38
9.3 Isomorphism, https://youtu.be/WiZZtF0c1hY
Chapter 10. Jordan Canonical Form
10.1 Finding the Jordan Canonical Form with a Dot Diagram
https://youtu.be/8fwPPOg8LW0 https://youtu.be/1E3wXN1oZyc
*10.2 Jordan Canonical Form and Generalized Eigenvectors,
https://youtu.be/YrRnCByzxNM https://youtu.be/yJ7n0icjtNA
10.3 Jordan Canonical Form and CAS, https://youtu.be/YrRnCByzxNM
학생 문제 풀이, https://youtu.be/y4173MpjoxE http://youtu.be/9-G3Fd2xOW0 Chapter 10 http://www.youtube.com/watch?v=adWzUKKmO2k
Copyright @ 2020 SKKU Matrix Lab. All rights reserved.
Made by Manager: Prof. Sang-Gu Lee and Dr. Jae Hwa Lee & 김응 기 http://matrix.skku.ac.kr/sglee/ and http://matrix.skku.ac.kr/cal-book/
*This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03035865
