Linear Algebra

소개
  • 서울대학교 전기공학부 학부 3학년을 위한 강의
  • 2007년 1학기에 개설된 내용을 동영상으로 녹화 (조교 이태희, 김상훈)
  • 동영상의 화질이 좋지 않습니다. 일부 내용은 "선형대수와 선형시스템 기초" 강의에서 다루고 있으니 참고하시기 바랍니다.

강사

심형보 교수 http://cdsl.kr/~hshim


교재

G. Strang, Linear Algebra and Its Applications, Fourth Edition, Thomson, 2006


강의 동영상

passcode: math3

Class 1  Introduction, Geometry of Linear Equations http://vimeo.com/31463910

Class 2  Gaussian Elimination, Matrix Notation and Matrix Multiplication http://vimeo.com/31464987    

Class 3  LU Decomposition, Matrix Inversion http://vimeo.com/31471266

Class 4  Transpose (End of Chapter 1), Vector Space http://vimeo.com/31472228

Class 5  Column/Nullspace of A, All solutions of Ax=b for general A http://vimeo.com/31522202         

Class 6  Linear independence, Rank, Basis, Dimension, Four Fundamental Subspaces of A http://vimeo.com/31523987

Class 7  Pseudoinverse, Linear Transformation (1) http://vimeo.com/31525342 

Class 8  Linear Transformation (2) (End of Chap. 2) http://vimeo.com/31527046          

Class 9  Intersection, Sum and Direct Sum of Subspaces http://vimeo.com/31528180   

Class 10 Four fundamental subspaces of A, Projections and Least Squares http://vimeo.com/31532796  

Class 11 Orthogonal matrix and Gram-Schmidt Process (1) http://vimeo.com/31891971 

Class 12 Orthogonal matrix and Gram-Schmidt Process (2) (End of Chap. 3) http://vimeo.com/31892633 

Class 13 Properties and Formula of Determinant http://vimeo.com/31893571  

Class 14 Application of Determinant (End of Chap. 4), Eigenvalues and Eigenvectors http://vimeo.com/31895254

Class 15 Diagonalization of a Matrix http://vimeo.com/31899850

Class 16 Solving Difference Equation http://vimeo.com/31903058      

Class 17 Complex Matrices http://vimeo.com/31943456

Class 18 Similarity Transformation / Schur's Lemma (Video not available)

Class 19 Jordan Form 1 http://vimeo.com/31948558

Class 20 Jordan Form 2 / Solving Differential Equation http://vimeo.com/32188237

Class 21 Solving Differential Equation (End of Chap. 5) / Positive Definite Matrix http://vimeo.com/32189232

Class 22 Minima and Maxima / Congruence Transformation http://vimeo.com/32192105

Class 23 Singular Value Decomposition / Minimum Principle (End of Chap. 6) http://vimeo.com/32193154

Class 24 Matrix Norm and Condition Number http://vimeo.com/32194948


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