دروس بالفيديو ::MIT Linear Algebra Video Lectures, Spring 2005
MIT
Linear Algebra Video Lectures, Spring 2005 English | Subtitle:
N/A | 28:01:31 | 320 x 240 | rm | 2.35GB
لتحميلها تفضل
Copyrights
all go to the original author.
These video lectures
of Professor Gilbert Strang teaching 18.06 were recorded live in
the Fall of 1999. Support for the video production was provided by
the Lord Foundation of Massachusetts under a grant to the MIT
Center for Advanced Educational Services.
01 The
Geometry of Linear Equations.rm 02 Elimination with Matrices.rm 03
Multiplication and Inverse Matrices.rm 04 Factorization into A =
LU.rm 05 Transposes, Permutations, Spaces R^n.rm 06 Column
Space and Nullspace.rm 07 Solving Ax = 0 – Pivot Variables,
Special Solutions.rm 08 Solving Ax = b – Row Reduced Form R.rm 09
Independence, Basis, and Dimension.rm 10 The Four Fundamental
Subspaces.rm 11 Matrix Spaces; Rank 1; Small World Graphs.rm 12
Graphs, Networks, Incidence Matrices.rm 13 Quiz 1 Review.rm 14
Orthogonal Vectors and Subspaces.rm 15 Projections onto
Subspaces.rm 16 Projection Matrices and Least Squares.rm 17
Orthogonal Matrices and Gram-Schmidt.rm 18 Properties of
Determinants.rm 19 Determinant Formulas and Cofactors.rm 20
Cramer�s Rule, Inverse Matrix, and Volume.rm 21 Eigenvalues and
Eigenvectors.rm 22 Diagonalization and Powers of A.rm 23
Differential Equations and exp(At).rm 24 Markov Matrices; Fourier
Series.rm 25 Quiz 2 Review.rm 26 Symmetric Matrices and Positive
Definiteness.rm 27 Complex Matrices; Fast Fourier Transform.rm 28
Positive Definite Matrices and Minima.rm 29 Similar Matrices
and Jordan Form.rm 30 Singular Value Decomposition.rm 31
Linear Transformations and Their Matrices.rm 32 Change of Basis;
Image Compression.rm 33 Quiz 3 Review.rm 34 Left and Right
Inverses; Pseudoinverse.rm 35 Final Course Review.rm
