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Saturday, 28 September 2013

18.06 - Linear Algebra - MIT Video Lectures


18.06 - Linear Algebra - MIT Video Lectures

Course Description - This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
TOTAL LECTURES - 34
Download Link (MIT Lecture Notes):
> DOWNLOAD "18.06 - Linear Algebra - MIT Video Lectures NOTES" <

Video Lecture Files MPEG4 Ogg Video
Lecture 1: The geometry of linear equations 88.9 MB
172.7 MB
Lecture 2: Elimination with matrices 101.7 MB
193.8 MB
Lecture 3: Multiplication and inverse matrices 104.7 MB
200.2 MB
Lecture 4: Factorization into A = LU 104.0 MB
201.5 MB
Lecture 5: Transposes, permutations, spaces R^n 101.8 MB
194.0 MB
Lecture 6: Column space and nullspace 102.8 MB
197.9 MB
Lecture 7: Solving Ax = 0: pivot variables, special solutions 93.1 MB
179.1 MB
Lecture 8: Solving Ax = b: row reduced form R 101.2 MB
190.9 MB
Lecture 9: Independence, basis, and dimension 107.9 MB
199.8 MB
Lecture 10: The four fundamental subspaces 106.1 MB
190.6 MB
Lecture 11: Matrix spaces; rank 1; small world graphs 102.6 MB
193.4 MB
Lecture 12: Graphs, networks, incidence matrices 102.2 MB
197.5 MB
Lecture 13: Quiz 1 review 101.3 MB
188.8 MB
Lecture 14: Orthogonal vectors and subspaces 105.5 MB
202.8 MB
Lecture 15: Projections onto subspaces 103.1 MB
187.3 MB
Lecture 16: Projection matrices and least squares 102.9 MB
195.7 MB
Lecture 17: Orthogonal matrices and Gram-Schmidt 108.1 MB
203.4 MB
Lecture 18: Properties of determinants 104.1 MB
198.1 MB
Lecture 19: Determinant formulas and cofactors 113.5 MB
219.3 MB
Lecture 20: Cramer's rule, inverse matrix, and volume 110.1 MB
211.5 MB
Lecture 21: Eigenvalues and eigenvectors 115.0 MB
210.2 MB
Lecture 22: Diagonalization and powers of A 110.2 MB
210.1 MB
Lecture 23: Differential equations and exp(At) 114.0 MB
219.7 MB
Lecture 24: Markov matrices; fourier series 114.3 MB
220.5 MB
Lecture 24b: Quiz 2 review 107.9 MB
202.5 MB
Lecture 25: Symmetric matrices and positive definiteness 98.0 MB
183.3 MB
Lecture 26: Complex matrices; fast fourier transform 102.2 MB
185.6 MB
Lecture 27: Positive definite matrices and minima 108.3 MB
205.5 MB
Lecture 28: Similar matrices and jordan form 102.6 MB
189.1 MB
Lecture 29: Singular value decomposition 92.8 MB
171.6 MB
Lecture 30: Linear transformations and their matrices 105.7 MB
200.4 MB
Lecture 31: Change of basis; image compression 112.1 MB
217.4 MB
Lecture 32: Quiz 3 review 100.7 MB
193.2 MB
Lecture 33: Left and right inverses; pseudoinverse 90.1 MB
170.8 MB
Lecture 34: Final course review 92.9 MB
173.8 MB

Prof. Gilbert Strang, 18.06, Linear Algebra
(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed September 27, 2013). 
Our website abides by the Creative Commons BY-NC-SA as set by MIT.
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