Blog Entries: 5

## Glossary for Linear Algebra + Quick Tips

Author: Gilbert Strang from MIT
Attached Files
 linear_glossary.pdf (137.5 KB, 887 views) linear_nutshell.pdf (47.7 KB, 742 views)
 Recognitions: Science Advisor Thanks Greg! That couldn't have come at a better time for me!
 Thank you, for this subject

## Glossary for Linear Algebra + Quick Tips

And in case you haven't checked it out already, there's also the accompanying OpenCourseware site. The video lectures on the page are pretty good, although you may want to download the full ~100 mb file to reduce stuttering if your connection is not up to it.
 Admin W. Gilbert Strang's lectures on Linear Algebra are available on-line http://ocw.mit.edu/courses/mathemati...ideo-lectures/ Lecture 1 - The Geometry of Linear Equations Lecture 2 - Elimination with Matrices Lecture 3 - Multiplication and Inverse Matrices Lecture 4 - Factorization into A = LU Lecture 5 - Transposes, Permutations, Spaces Rn Lecture 6 - Column Space and Nullspace Lecture 7 - Solving Ax = 0: Pivot Variables, Special Solutions Lecture 8 - Solving Ax = b: Row Reduced Form R Lecture 9 - Independence, Basis, and Dimension Lecture 10 - The Four Fundamental Subspaces Lecture 11 - Matrix Spaces; Rank 1; Small World Graphs Lecture 12 - Graphs, Networks, Incidence Matrices Lecture 13 - Quiz 1 Review Lecture 14 - Orthogonal Vectors and Subspaces Lecture 15 - Projections onto Subspaces Lecture 16 - Projection Matrices and Least Squares Lecture 17 - Orthogonal Matrices and Gram-Schmidt Lecture 18 - Properties of Determinants Lecture 19 - Determinant Formulas and Cofactors Lecture 20 - Cramer's Rule, Inverse Matrix, and Volume Lecture 21 - Eigenvalues and Eigenvectors Lecture 22 - Diagonalization and Powers of A Lecture 23 - Differential Equations and exp(At) Lecture 24 - Markov Matrices; Fourier Series Lecture 24b - Quiz 2 Review Lecture 25 - Symmetric Matrices and Positive Definiteness Lecture 26 - Symmetric Matrices and Positive Definiteness Lecture 27 - Positive Definite Matrices and Minima Lecture 28 - Similar Matrices and Jordan Form Lecture 29 - Singular Value Decomposition Lecture 30 - Linear Transformations and Their Matrices Lecture 31 - Change of Basis; Image Compression Lecture 32 - Quiz 3 Review Lecture 33 - Left and Right Inverses; Pseudoinverse Lecture 34 - Final Course Review Also on Youtube - starting with Lecture 1 (Spring 2005) - http://www.youtube.com/watch?v=ZK3O402wf1c

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