## SEE: Guide to Download MIT Video Lecture

## Course Description :

The Geometry of Linear Equations - Elimination with Matrices-Multiplication and Inverse Matrices - Factorization into A = LU - Transposes, Permutations, Spaces R^n-Column Space and Nullspace -Solving Ax = 0: Pivot Variables, Special Solutions - Solving Ax = b: Row Reduced Form R - Independence, Basis, and Dimension - The Four Fundamental Subspaces - Matrix Spaces; Rank 1; Small World Graphs-Graphs, Networks, Incidence Matrices - Orthogonal Vectors and Subspaces - Projections onto Subspaces - Projection Matrices and Least Squares - Orthogonal Matrices and Gram - Schmidt

Properties of Determinants - Determinant Formulas and Cofactors - Cramers Rule, Inverse Matrix, and Volume - Eigenvalues and Eigenvectors - Diagonalization and Powers of A - Differential Equations and exp(At) - Markov Matrices - Fourier Series - Symmetric Matrices and Positive Definiteness - Complex Matrices - Fast Fourier Transform - Positive Definite Matrices and Minima - Similar Matrices and Jordan Form - Singular Value Decomposition - Linear Transformations and Their Matrices - Change of Basis - Image Compression - Left and Right Inverses - Pseudoinverse - Final Course Review

## Other Resources :

### Handouts | Citation |

These free video lectures are licensed under a Creative Commons License by MIT OCW

## Other Mathematics Courses

- Math 65 - Introductory Algebra-2nd Term by Portland Community College
- Algebraic Topology by The University of New South Wales
- Real Analysis I by IIT Madras
- MA 103 - Topics in Contemporary Mathematics by North Carolina State University
- MMF1928H / STA 2503F - Pricing Theory I / Applied Probability for Mathematical Finance by University of Toronto
- AMC Sequences and Series by Other
- Mobius Function by Other
- Geometry by Khan Academy
- Stochastic Processes by IIT Delhi
- Math 95 - Intermediate Algebra by Portland Community College

### » check out the complete list of Mathematics lectures

### Comments

All leacture on this web are very nice. Moreover they r helpful to others.

**irfan says :**

excellent approach

Birajdar Gunvant Achutrao says :