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