

lecture
Lecture 1: The Geometry of Linear Equations
as author at MIT 18.06 Linear Algebra Spring 2005,
104450 views




lecture
Lecture 2: Elimination with Matrices
as author at MIT 18.06 Linear Algebra Spring 2005,
41164 views



lecture
Lecture 16: Dynamic estimation: Kalman filter and square root filter
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
32152 views




lecture
Lecture 4: Factorization into A = LU
as author at MIT 18.06 Linear Algebra Spring 2005,
30046 views



lecture
Lecture 27: Multiresolution, wavelet transform and scaling function
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
30047 views




lecture
Lecture 1: Positive definite matrices K = A'CA
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
26261 views



lecture
Lecture 3: Multiplication and Inverse Matrices
as author at MIT 18.06 Linear Algebra Spring 2005,
25159 views




lecture
Lecture 21: Eigenvalues and Eigenvectors
as author at MIT 18.06 Linear Algebra Spring 2005,
23098 views



lecture
Lecture 6: Column Space and Nullspace
as author at MIT 18.06 Linear Algebra Spring 2005,
21955 views




lecture
Lecture 31: Simplex method in linear programming
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
21287 views



lecture
Lecture 5: Transposes, Permutations, Spaces R^n
as author at MIT 18.06 Linear Algebra Spring 2005,
19072 views




lecture
Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions
as author at MIT 18.06 Linear Algebra Spring 2005,
18596 views



lecture
Lecture 9: Independence, Basis, and Dimension
as author at MIT 18.06 Linear Algebra Spring 2005,
17489 views




lecture
Lecture 4: Applications to linear estimation: least squares
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
17791 views



lecture
Lecture 29: Singular Value Decomposition
as author at MIT 18.06 Linear Algebra Spring 2005,
17399 views




lecture
Lecture 15: Numerical methods in estimation: recursive least squares and covariance matrix
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
16478 views



lecture
Lecture 14: Orthogonal Vectors and Subspaces
as author at MIT 18.06 Linear Algebra Spring 2005,
16180 views




lecture
Lecture 8: Solving Ax = b: Row Reduced Form R
as author at MIT 18.06 Linear Algebra Spring 2005,
16177 views



lecture
Lecture 10: The Four Fundamental Subspaces
as author at MIT 18.06 Linear Algebra Spring 2005,
16103 views




lecture
Lecture 15: Projections onto Subspaces
as author at MIT 18.06 Linear Algebra Spring 2005,
14135 views



lecture
Lecture 14: Numerical linear algebra: SVD and applications
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
14192 views




lecture
Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
as author at MIT 18.06 Linear Algebra Spring 2005,
13765 views



lecture
Lecture 16: Projection Matrices and Least Squares
as author at MIT 18.06 Linear Algebra Spring 2005,
13746 views




lecture
Lecture 22: Diagonalization and Powers of A
as author at MIT 18.06 Linear Algebra Spring 2005,
13737 views



lecture
Lecture 31: Change of Basis; Image Compression
as author at MIT 18.06 Linear Algebra Spring 2005,
13469 views




lecture
Lecture 2: Onedimensional applications: A = difference matrix
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
13608 views



lecture
Lecture 23: Fast fourier transform and circulant matrices
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
13415 views




lecture
Lecture 17: Orthogonal Matrices and GramSchmidt
as author at MIT 18.06 Linear Algebra Spring 2005,
13160 views



lecture
Lecture 10: Delta function and Green's function
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
12952 views




lecture
Lecture 30: Network flows and combinatorics: max flow = min cut
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
12594 views



lecture
Lecture 13: Quiz 1 Review
as author at MIT 18.06 Linear Algebra Spring 2005,
12191 views




lecture
Lecture 23: Differential Equations and exp(At)
as author at MIT 18.06 Linear Algebra Spring 2005,
12108 views



lecture
Lecture 32: Nonlinear optimization: algorithms and theory
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
12246 views




lecture
Lecture 29: Applications in signal and image processing: compression
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
12241 views



lecture
Lecture 12: Graphs, Networks, Incidence Matrices
as author at MIT 18.06 Linear Algebra Spring 2005,
11883 views




lecture
Lecture 19: Determinant Formulas and Cofactors
as author at MIT 18.06 Linear Algebra Spring 2005,
11773 views



lecture
Lecture 28: Splines and orthogonal wavelets: Daubechies construction
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
11858 views




lecture
Lecture 20: Cramer's Rule, Inverse Matrix, and Volume
as author at MIT 18.06 Linear Algebra Spring 2005,
11438 views



lecture
Lecture 18: Properties of Determinants
as author at MIT 18.06 Linear Algebra Spring 2005,
11262 views




lecture
Lecture 20: Finite element method: equilibrium equations
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
11302 views



lecture
Lecture 13: Numerical linear algebra: orthogonalization and A = QR
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
10883 views




lecture
Lecture 9: Solutions of Laplace equation: complex variables
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
10852 views



lecture
Lecture 24: Discrete filters: lowpass and highpass
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
10809 views




lecture
Lecture 30: Linear Transformations and Their Matrices
as author at MIT 18.06 Linear Algebra Spring 2005,
10466 views



lecture
Lecture 3: Network applications: A = incidence matrix
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
10379 views




lecture
Lecture 24: Markov Matrices; Fourier Series
as author at MIT 18.06 Linear Algebra Spring 2005,
10161 views



lecture
Lecture 25: Symmetric Matrices and Positive Definiteness
as author at MIT 18.06 Linear Algebra Spring 2005,
10019 views




lecture
Lecture 28: Similar Matrices and Jordan Form
as author at MIT 18.06 Linear Algebra Spring 2005,
9975 views



lecture
Lecture 26: Filter banks and perfect reconstruction
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
9930 views




lecture
Lecture 26: Complex Matrices; Fast Fourier Transform
as author at MIT 18.06 Linear Algebra Spring 2005,
9615 views



lecture
Lecture 27: Positive Definite Matrices and Minima
as author at MIT 18.06 Linear Algebra Spring 2005,
9603 views




lecture
Lecture 25: Filters in the time and frequency domain
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
9721 views



lecture
Lecture 22: Fourier expansions and convolution
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
9392 views




lecture
Lecture 18: Finite difference methods: stability and convergence
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
9027 views



lecture
Lecture 6: Underlying theory: applied linear algebra
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
8802 views




lecture
Lecture 8: Applications to boundary value problems: Laplace equation
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
8763 views



lecture
Lecture 19: Optimization and minimum principles: Euler equation
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
8639 views




lecture
Lecture 33: Left and Right Inverses; Pseudoinverse
as author at MIT 18.06 Linear Algebra Spring 2005,
8110 views



lecture
Lecture 11: Initial value problems: wave equation and heat equation
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
8041 views




lecture
Lecture 34: Final Course Review
as author at MIT 18.06 Linear Algebra Spring 2005,
7791 views



lecture
Lecture 5: Applications to dynamics: eigenvalues of K, solution of Mu'' + Ku = F(t)
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
7915 views




lecture
Lecture 21: Spectral method: dynamic equations
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
7805 views



lecture
Lecture 24b: Quiz 2 Review
as author at MIT 18.06 Linear Algebra Spring 2005,
7450 views




lecture
Lecture 7: Discrete vs. continuous: differences and derivatives
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
7360 views



lecture
Lecture 32: Quiz 3 Review
as author at MIT 18.06 Linear Algebra Spring 2005,
7182 views




lecture
Lecture 12: Solutions of initial value problems: eigenfunctions
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
7020 views



lecture
Lecture 17: Finite difference methods: equilibrium problems
as author at MIT 18.085 Computational Science and Engineering I  Fall 2007,
6743 views

