MIT 대학의 Linear Algebra 강의실

Gilbert Strang 교수의 Lecture Videos, Fall 1999

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

o Lecture #1: The Geometry of Linear Equations

o Lecture #2: Elimination with Matrices

o Lecture #3: Multiplication and Inverse Matrices

o Lecture #4: Factorization into A = LU

o Lecture #5: Transposes, Permutations, Spaces R^n

o Lecture #6: Column Space and Nullspace

o Lecture #7: Solving Ax = 0: Pivot Variables, Special Solutions

o Lecture #8: Solving Ax = b: Row Reduced Form R

o Lecture #9: Independence, Basis, and Dimension

o Lecture #10: The Four Fundamental Subspaces

o Lecture #11: Matrix Spaces; Rank 1; Small World Graphs

o Lecture #12: Graphs, Networks, Incidence Matrices

o Lecture #13: Quiz 1 Review

o Lecture #14: Orthogonal Vectors and Subspaces

o Lecture #15: Projections onto Subspaces

o Lecture #16: Projection Matrices and Least Squares

o Lecture #17: Orthogonal Matrices and Gram-Schmidt

o Lecture #18: Properties of Determinants

o Lecture #19: Determinant Formulas and Cofactors

o Lecture #20: Cramer's Rule, Inverse Matrix, and Volume

o Lecture #21: Eigenvalues and Eigenvectors

o Lecture #22: Diagonalization and Powers of A

o Lecture #23: Differential Equations and exp(At)

o Lecture #24 : Markov Matrices; Fourier Series

o Lecture #24.5 : Quiz 2 Review

o Lecture #25 : Symmetric Matrices and Positive Definiteness

o Lecture #26 : Complex Matrices; Fast Fourier Transform

o Lecture #27 : Positive Definite Matrices and Minima

o Lecture #28 : Similar Matrices and Jordan Form

o Lecture #29 : Singular Value Decomposition

o Lecture #30 : Linear Transformations and Their Matrices

o Lecture #31: Change of Basis; Image Compression

o Lecture #32: Quiz 3 Review

o Lecture #33: Left and Right Inverses; Pseudoinverse

o Lecture #34: Final Course Review

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