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Linear Algebra
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Video Lectures

These video lectures of Professor Gilbert Strang teaching 18.06 were recorded live in the Fall of 1999. Support for the video production was provided by the Lord Foundation of Massachusetts under a grant to the MIT Center for Advanced Educational Services.

Video Lectures
Lecture 1: The geometry of linear equations
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 2: Elimination with matrices
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 3: Multiplication and inverse matrices
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 4: Factorization into A = LU
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 5: Transposes, permutations, spaces R^n
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 6: Column space and nullspace
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 7: Solving Ax = 0: pivot variables, special solutions
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 8: Solving Ax = b: row reduced form R
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 9: Independence, basis, and dimension
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 10: The four fundamental subspaces
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 11: Matrix spaces; rank 1; small world graphs
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 12: Graphs, networks, incidence matrices
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 13: Quiz 1 review
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 14: Orthogonal vectors and subspaces
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 15: Projections onto subspaces
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 16: Projection matrices and least squares
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 17: Orthogonal matrices and Gram-Schmidt
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 18: Properties of determinants
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 19: Determinant formulas and cofactors
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
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Video Lectures
Lecture 20: Cramers rule, inverse matrix, and volume
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 21: Eigenvalues and eigenvectors
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 22: Diagonalization and powers of A
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 23: Differential equations and exp(At)
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 24: Markov matrices; fourier series
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 24b: Quiz 2 review
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 25: Symmetric matrices and positive definiteness
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 26: Complex matrices; fast fourier transform
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 27: Positive definite matrices and minima
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 28: Similar matrices and jordan form
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 29: Singular value decomposition
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 30: Linear transformations and their matrices
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 31: Change of basis; image compression
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 32: Quiz 3 review
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 33: Left and right inverses; pseudoinverse
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon
Video Lectures
Lecture 34: Final course review
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture. Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. Instructor/speaker: Prof. Gilbert Strang
PLAY play_arrow_icon

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Course Features

theaters AV special element video - Tutorial
record_voice_over AV lectures - Video
assignment_turned_in Assignments - problem sets with solutions
grading Exams - Solutions
record_voice_over Instructor Insights