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* Korea Lecture Note (한글 강의용 강의록) :
http://matrix.skku.ac.kr/LA-K/Ch-1/
http://matrix.skku.ac.kr/LA-K/Ch-2/
http://matrix.skku.ac.kr/LA-K/Ch-3/
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
Midterm Exam : http://matrix.skku.ac.kr/LA/2016-S-LA-Midterm-Final-Solution.pdf
http://matrix.skku.ac.kr/LA-K/Ch-7/
http://matrix.skku.ac.kr/LA-K/Ch-8/
http://matrix.skku.ac.kr/LA-K/Ch-9/
http://matrix.skku.ac.kr/LA-K/Ch-10/
선형대수학 입문 (Lecture) - 성균관대 이상구 교수 Prof Sang-Gu Lee, SKKU
(강좌 설명) PBL - Flipped Learning http://youtu.be/Mxp1e2Zzg-A
Lecture 1 Introduction http://youtu.be/w7IzR4nGa3Q
Section 1.1 벡터 and 1.2 내적 http://youtu.be/aeLVQoPQMpE
Section 1.3 벡터방정식, Vector Equations http://youtu.be/4UGACWyWOgA
Section 2.1 Linear System of Equations, 선형연립방정식 http://youtu.be/CiLn1F2pmvY
Section 2.2 Gauss-Jordan 소거법, http://youtu.be/jnC66zvqHJI
Section 3.1 Matix Algebra, 행렬연산 http://youtu.be/DmtMvQR7cwA
Section 3.2, Section 3.3 역행렬과 기본행렬 http://youtu.be/GCKM2VlU7bw
Section 3.4 Subspaces - 부분공간 http://youtu.be/HFq_-8B47xM
Section 3.5 Solution space 3.6 Special matrices, 해공간, 특수행렬 http://youtu.be/daIxHJBHL_g
Section 4.1 Determinant - 행렬식, http://youtu.be/DM-q2ZuQtI0
Section 4.2 Cofactor and Inverse, 여인자 전개와 역행렬, http://youtu.be/XPCD0ZYoH5I
Section 4.3 Cramer's rule 4.4. Appl, 4.5 eigen Value and Eigenvector
크래머의 법칙, 고유값, 고유벡터 http://youtu.be/OImrmmWXuvU
Section 6.1 Linear Transformation, 선형변환 http://youtu.be/YF6-ENHfI6E
Section 6.2 Meaning of LT, 선형변환의 기하학적 의미 http://youtu.be/cgySDj-OVlM
Section 6.3 Kernel and Range, 핵과 치역 SKKU http://youtu.be/9YciT9Bb2B0
Section 6.4 Composite and Inverse of LT, 선형변한의 합성과 역행렬 http://youtu.be/EOlq4LouGao
LA Midterm Exam http://youtu.be/R3F3VNGH8Oo
Problem Solving (Ch
1.-Ch.10)
LA Problem solving Ch. 1,
https://youtu.be/4pneV9Wm_u8
LA Problem solving Ch. 2, https://youtu.be/cxZYR_OwIRo
LA Problem solving Ch. 3, https://youtu.be/ZHzTvuHc9MI
LA Problem solving Ch. 4, 학생발표 2조 https://youtu.be/o52eayUUOnk
LA Problem solving Ch. 6, 학생발표 4조 https://youtu.be/ytNRPS1IkCk
LA Midterm Review https://youtu.be/Z89XvKXIYeg
LA Problem solving Ch. 7, 학생발표, https://youtu.be/7SB1hQI-hzM
LA Problem solving Ch. 8, 학생발표, https://youtu.be/iNVN0-q15to
LA Problem solving Ch. 9, 학생발표, https://youtu.be/hGoeTDwWlUY
LA Problem solving Ch. 10, 학생발표 https://youtu.be/7ZtxicpdMkw
Sample Exam : http://matrix.skku.ac.kr/2015-Album/2015-LA-S-Exam-All-Sol.pdf
Sample Exam : http://matrix.skku.ac.kr/LA/2016-S-LA-Midterm-Final-Solution.pdf
* Chapter 5. Matrix Model (행렬 모델)
5-1 Power Method: http://youtu.be/CLxjkZuNJXw
5-2 Cryptography: http://youtu.be/umTIADxsEq8
5-3 Blackout Game: http://youtu.be/_bS33Ifa29s
5-4 Markov Chains: http://youtu.be/156ezier6HQ
5-5 Google Matrix: http://youtu.be/WNUoXLh8i_E
5-6 Project: http://youtu.be/coNq48CW6Pg
- Ch 5 Matrix Model 학생 발표 https://youtu.be/4u9LtmX7lvk
LA Midterm Review https://youtu.be/Z89XvKXIYeg
Chapter 7. Dimension and Subspaces
Section 7.1 Basis and Dimension, 기저와 차원 SKKU http://youtu.be/or9c97J3Uk0
Section 7.2 Fundamental Subspaces, 주요 부분공간들 SKKU https://youtu.be/8P7cd-Eh328
Section 7.3 Rank Nullity Theorem, SKKU http://youtu.be/ez7_JYRGsb4
Section 7.4 Rank Theorem, 계수정리 SKKU http://youtu.be/P4cmhZ3X7LY
Section 7.5 Projection Theorem, 정사영정리 SKKU http://youtu.be/GlcA4l8SmlM
Section 7.6* 최소제곱해(least square solution) http://www.youtube.com/watch?v=BC9qeR0JWis
Section 7.7 Gram-Schmidt의 정규직교화과정, SKKU http://youtu.be/gt4-EuXvx1Y
Section 7.8* QR-분해, Householder transformations http://www.youtube.com/watch?v=crMXPi2lgGs
Section 7.9 Coordinate vector, 좌표벡터, SKKU http://youtu.be/M4peLF7Xur0
학생 문제 풀이 Section 7-1 http://www.youtube.com/watch?v=BHf1AZjYAdQ
Section 7-5 http://www.youtube.com/watch?v=BC9qeR0JWis
Section 7-7 http://youtu.be/ZRa-4MnWb48
Section 7-9 http://youtu.be/X9VR_0Xnbcc
Chapter 8. Diagonalization
Section 8.1 Matrix of LT, 선형변환의 행렬표현,
http://youtu.be/gn5ve1tXD7k and http://youtu.be/jfMcPoso6g4
Section 8.2 Similarlity 닮음과 행렬의 대각화, http://youtu.be/xirjNZ40kRk
Section 8.3 Ortho. Diag. 직교대각화 http://youtu.be/jimlkBGAZfQ
Section 8.4 Quadratic Ft 이차형식 http://youtu.be/vWzHWEhAd-k
Section 8.5* Appl of Quadratic Function http://youtu.be/cOW9qT64e0g
Section 8.6 Singular Value Decomposition, https://youtu.be/ejCge6Zjf1M , http://youtu.be/7-qG-A8nXmo
Section 8.7 and 8.8 Complex ev, Hermitian, Unitary, Normal matrix
복소고유값, 복소고유벡터, 정규행렬, http://youtu.be/8_uNVj_OIAk , http://youtu.be/Ma2er-9LC_g , http://youtu.be/GLGwj6tzd60
학생 문제 풀이 Section 8-1 http://youtu.be/Oy7ZbacWDhk
Section 8-2 http://www.youtube.com/watch?v=00HeZNTN_vc http://www.youtube.com/watch?v=7g5Du3_D5PQ
Section 8-3 http://www.youtube.com/watch?v=HSPYrYju1ZY
Section 8-4 http://youtu.be/aYTuHkNKbB4
Section 8-5 http://www.youtube.com/watch?v=gWEtJYqvMuQ
Section 8-6 http://www.youtube.com/watch?v=m7u1-XphQ3s
Section 8-7 http://youtu.be/jDViGood6VA
Section 8-8 http://www.youtube.com/watch?v=lEolZQp_55g http://youtu.be/SJfshBcj_oc http://youtu.be/Ajos-zIx6pA
Section 8-9 http://www.youtube.com/watch?v=c0y5DcNQ8gs
Chapter 9. General Vector Spaces (일반벡터공간)
Section 9.1 and 9-2 General Vector Spaces, Inner product spaces, http://youtu.be/m9ru-F7EvNg , http://youtu.be/beXWYXYtAaI, http://youtu.be/nIkYF-uvFdA
Section 9.3 Isomorphism 동형사상, LA, http://youtu.be/frOcceYb2fc , http://youtu.be/Y2lhCID0XS8
학생 문제 풀이 Section 9-1 http://www.youtube.com/watch?v=G3Fek3W9kVg
Section 9-2 http://www.youtube.com/watch?v=UuSBrN4-4Fc
Chapter 9 http://www.youtube.com/watch?v=tmzbqK3rZfg http://www.youtube.com/watch?v=Bqablzyb_30
Chapter 10. Jordan Canonical Form
Section 10.1 Jordan Canonical Form (Jordan 표준형) http://youtu.be/NBLZPcWRHYI , https://youtu.be/8fwPPOg8LW0
*10.2 Jordan Canonical Form and Generalized Eigenvectors, https://youtu.be/YrRnCByzxNM ( https://youtu.be/yJ7n0icjtNA )
10.3 Jordan Canonical Form and CAS, http://youtu.be/LxY6RcNTEE0 https://youtu.be/YrRnCByzxNM (http://youtu.be/LxY6RcNTEE0 )
학생 문제 풀이, New https://youtu.be/7ZtxicpdMkw ( https://youtu.be/y4173MpjoxE , Section 10-1 http://youtu.be/9-G3Fd2xOW0 )
Chapter 10 http://www.youtube.com/watch?v=adWzUKKmO2k
