Course: MIT 18.06 Linear Algebra, Spring 2005 Dnatube

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Lec 1 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 1 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 1: The Geometry of Linear Equations. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 2 - MIT 18.06 Linear Algebra, Spring ...

"Lec 2 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 2: Elimination with Matrices. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 3 - MIT 18.06 Linear Algebra, Spring ...

"Lec 3 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 3: Multiplication and Inverse Matrices. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 4 - MIT 18.06 Linear Algebra, Spring ...

"Lec 4 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 4: Factorization into A = LU *Please note that there is not a higher quality version available. View the complete course: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 5 - MIT 18.06 Linear Algebra, Spring ...

"Lec 5 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 5: Transposes, Permutations, Spaces R^n. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 6 - MIT 18.06 Linear Algebra, Spring ...

"Lec 6 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 6: Column Space and Nullspace. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 7 - MIT 18.06 Linear Algebra, Spring ...

"Lec 7 - MIT 18.06 Linear Algebra, Spring 2005"Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 8 - MIT 18.06 Linear Algebra, Spring ...

"Lec 8 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 8: Solving Ax = b: Row Reduced Form R. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 9 - MIT 18.06 Linear Algebra, Spring ...

"Lec 9 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 9: Independence, Basis, and Dimension. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 10 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 10 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 10: The Four Fundamental Subspaces. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 11 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 11 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 11: Matrix Spaces; Rank 1; Small World Graphs. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 12 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 12 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 12: Graphs, Networks, Incidence Matrices. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 13 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 13 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 13: Quiz 1 Review. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 14 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 14 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 14: Orthogonal Vectors and Subspaces. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 15 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 15 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 15: Projections onto Subspaces. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 16 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 16 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 16: Projection Matrices and Least Squares. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 17 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 17 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 17: Orthogonal Matrices and Gram-Schmidt. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 18 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 18 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 18: Properties of Determinants. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 19 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 19 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 19: Determinant Formulas and Cofactors. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 20 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 20 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 20: Cramer's Rule, Inverse Matrix, and Volume. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 21 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 21 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 21: Eigenvalues and Eigenvectors. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 22 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 22 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 22: Diagonalization and Powers of A. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 23 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 23 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 23: Differential Equations and exp(At). View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 24 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 24 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 24: Markov Matrices; Fourier Series.* * NOTE: the audio is in the right channel only. If you here no audio, you are listening only to the left channel. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 25 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 25 - MIT 18.06 Linear Algebra, Spring 2005"Lecture 25 : Quiz 2 Review.* * NOTE: the audio is in the right channel only. If you here no audio, you are listening only to the left channel. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 26 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 26 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 26: Symmetric Matrices and Positive Definiteness.* * NOTE: the audio is in the right channel only. If you here no audio, you are listening only to the left channel. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at...
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Lec 27 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 27 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 27: Complex Matrices; Fast Fourier Transform. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 28 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 28 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 28: Positive Definite Matrices and Minima. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 29 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 29 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 29: Similar Matrices and Jordan Form. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 30 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 30 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 29: Singular Value Decomposition. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 31 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 31 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 31: Linear Transformations and Their Matrices. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 32 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 32 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 32: Change of Basis; Image Compression. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 33 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 33 - MIT 18.06 Linear Algebra, Spring 2005"Lecture 33: Quiz 3 Review. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 34 - MIT 18.06 Linear Algebra, Sprin ...

"Lec 34 - MIT 18.06 Linear Algebra, Spring 2005" Lecture 33: Left and Right Inverses; Pseudoinverse. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec Last - MIT 18.06 Linear Algebra, Spr ...

"Lec Last - MIT 18.06 Linear Algebra, Spring 2005" Lecture Last: Final Course Review. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

MIT 18.06 Linear Algebra, Spring 2005


Source of these courses is MIT 
Instructor: Prof. Gilbert Strang This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. *Please note that lecture 4 is unavailable in a higher quality format. Find more lecture notes, study materials, and more courses at http://ocw.mit.edu.
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COURSE NAME: MIT 18.06 Linear Algebra, Spring 2005

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