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Álgebra Lineal

En el blog de dsplabs.com.au encontré unos  vídeos que me interesan mucho es sobre álgebra lineal una de las materias que lleve en el primer cuatrimestre de la carrera de Ingeniería de Desarrollo de Software,  es algo de Open Couse Ware, aquí dejo los vídeos son muy buenos en cada lección hay opción de bajar el contenido en pdf o verlo en linea HTML esto es desde la web de la universidad de MIT de OCW;

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

By Instructor/speaker: Prof. Gilbert Strang

16. enero 2010 | Algebra Lineal, Desarrollo de Software, matematicas | Comments (4)


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