# Gilbert Strang 교수의 Lecture Videos, Fall 1999

Strang 교수님은 2000년 5월 성균관대 자연과학 캠퍼스에 방문하실 계획입니다.

 Lecture #1: The Geometry of Linear Equations Lecture #2: Elimination with Matrices Lecture #3: Multiplication and Inverse Matrices Lecture #4: Factorization into A = LU Lecture #5: Transposes, Permutations, Spaces R^n Lecture #6: Column Space and Nullspace Lecture #7: Solving Ax = 0: Pivot Variables, Special Solutions Lecture #8: Solving Ax = b: Row Reduced Form R Lecture #9: Independence, Basis, and Dimension Lecture #10: The Four Fundamental Subspaces Lecture #11: Matrix Spaces; Rank 1; Small World Graphs Lecture #12: Graphs, Networks, Incidence Matrices Lecture #13: Quiz 1 Review Lecture #14: Orthogonal Vectors and Subspaces Lecture #15: Projections onto Subspaces Lecture #16: Projection Matrices and Least Squares Lecture #17: Orthogonal Matrices and Gram-Schmidt Lecture #18: Properties of Determinants Lecture #19: Determinant Formulas and Cofactors Lecture #20: Cramer's Rule, Inverse Matrix, and Volume Lecture #21: Eigenvalues and Eigenvectors Lecture #22: Diagonalization and Powers of A Lecture #23: Differential Equations and exp(At) Lecture #24 : Markov Matrices; Fourier Series Lecture #24.5 : Quiz 2 Review Lecture #25 : Symmetric Matrices and Positive Definiteness Lecture #26 : Complex Matrices; Fast Fourier Transform Lecture #27 : Positive Definite Matrices and Minima Lecture #28 : Similar Matrices and Jordan Form Lecture #29 : Singular Value Decomposition Lecture #30 : Linear Transformations and Their Matrices Lecture #31: Change of Basis; Image Compression Lecture #32: Quiz 3 Review Lecture #33: Left and Right Inverses; Pseudoinverse Lecture #34: Final Course Review

Standard Athena workstation configurations will allow you to view the 18.06 lecture videos. If you wish to access the videos from a Mac or PC, you should download the RealPlayer. You do not need the Plus Version of the RealPlayer - the free RealPlayer will work fine.

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성균관대 이상구교수