MIT 18.06 Linear Algebra Spring 2005

MIT 18.06 Linear Algebra Spring 2005

70 Videos · Aug 26, 1999

About

Course Highlights

This course features a complete set of video lectures by Professor Gilbert Strang. There are also Java applets with sound as well as interactive Java applets. The text for this class is Introduction to Linear Algebra by Gilbert Strang.

Course Description

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.

Course Homepage 18.06 Linear Algebra Spring 2005

Course features at MIT OpenCourseWare page: *Syllabus *Calendar *Readings *Assignment *Exams *Tools *Study Materials *Related Resources *Download Course Materials

Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET

Videos

Unit I: Ax = b and the Four Subspaces

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12:30

Graphs and Networks

Nikola Kamburov

Sep 4, 2019

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3 views

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09:03

Solving Ax=b

Martina Balagovic

Sep 4, 2019

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3 views

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09:34

LU Decomposition

Benjamin Harris

Sep 4, 2019

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3 views

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14:45

Subspaces of Three Dimensional Space

Feb 18, 2024

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3 views

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10:17

Elimination with Matrices

Martina Balagovic

Sep 4, 2019

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5 views

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14:52

Exam 1 Problem Solving

Nikola Kamburov

Sep 4, 2019

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4 views

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10:44

Computing the Four Fundamental Subspaces

Benjamin Harris

Sep 4, 2019

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3 views

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08:10

Basis and Dimension

Ana Rita Pires

Sep 4, 2019

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3 views

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10:03

Solving Ax=0

Martina Balagovic

Sep 4, 2019

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4 views

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08:24

Inverse Matrices

Ana Rita Pires

Sep 4, 2019

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3 views

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16:35

Geometry of Linear Algebra

Linan Chen

Sep 4, 2019

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6 views

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08:55

Matrix Spaces

Ana Rita Pires

Sep 4, 2019

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4 views

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08:45

Vector Subspaces

Nikola Kamburov

Sep 4, 2019

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3 views

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07:43

An Overview of Key Ideas

Martina Balagovic

Sep 4, 2019

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6 views

Unit II: Least Squares, Determinants and Eigenvalues

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09:22

Eigenvalues and Eigenvectors

Nikola Kamburov

Sep 4, 2019

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2 views

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13:49

Determinants and Volume

Linan Chen

Sep 4, 2019

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4 views

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09:55

Properties of Determinants

Ana Rita Pires

Sep 4, 2019

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4 views

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10:20

Orthogonal Vectors and Subspaces

Feb 18, 2024

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0 views

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11:48

Markov Matrices

David Shirokoff

Sep 4, 2019

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2 views

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18:40

Differential Equations and exp(At)

Linan Chen

Sep 4, 2019

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2 views

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08:03

Least Squares Approximation

Benjamin Harris

Sep 4, 2019

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5 views

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17:51

Exam 2 Problem Solving

Linan Chen

Sep 4, 2019

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2 views

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12:48

Determinants

Linan Chen

Sep 4, 2019

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3 views

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09:07

Powers of a Matrix

Benjamin Harris

Sep 4, 2019

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3 views

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10:00

Gram-Schmidt Orthogonalization

Ana Rita Pires

Sep 4, 2019

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3 views

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09:50

Projection onto Subspaces

Nikola Kamburov

Sep 4, 2019

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1 views

Unit III: Positive Definite Matrices and Applications

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13:01

Complex Matrices

David Shirokoff

Sep 4, 2019

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3 views

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14:39

Pseudoinverses

David Shirokoff

Sep 4, 2019

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3 views

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12:25

Change of Basis

Martina Balagovic

Sep 4, 2019

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3 views

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08:12

Similar Matrices

Benjamin Harris

Sep 4, 2019

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2 views

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12:49

Exam 3 Problem Solving

David Shirokoff

Sep 4, 2019

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4 views

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10:46

Linear Transformations

Nikola Kamburov

Sep 4, 2019

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3 views

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12:50

Positive Definite Matrices and Minima

Martina Balagovic

Sep 4, 2019

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5 views

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11:36

Computing the Singular Value Decomposition

Benjamin Harris

Sep 4, 2019

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3 views

Final Course Review

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12:17

Final Exam Problem Solving

Ana Rita Pires

Sep 4, 2019

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2 views

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50:20

Lecture 4: Factorization into A = LU

Gilbert Strang

Feb 10, 2009

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30312 views

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39:48

Lecture 1: The Geometry of Linear Equations

Gilbert Strang

Feb 10, 2009

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105239 views

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50:13

Lecture 9: Independence, Basis, and Dimension

Gilbert Strang

Feb 10, 2009

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17538 views

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47:19

Lecture 8: Solving Ax = b: Row Reduced Form R

Gilbert Strang

Feb 10, 2009

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16236 views

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41:34

Lecture 29: Singular Value Decomposition

Gilbert Strang

Feb 10, 2009

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17467 views

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47:56

Lecture 12: Graphs, Networks, Incidence Matrices

Gilbert Strang

Feb 10, 2009

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11927 views

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49:47

Lecture 14: Orthogonal Vectors and Subspaces

Gilbert Strang

Feb 10, 2009

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16224 views

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47:05

Lecture 32: Quiz 3 Review

Gilbert Strang

Feb 10, 2009

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7209 views

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47:51

Lecture 26: Complex Matrices; Fast Fourier Transform

Gilbert Strang

Feb 10, 2009

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9655 views

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47:41

Lecture 5: Transposes, Permutations, Spaces R^n

Gilbert Strang

Feb 10, 2009

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19153 views

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50:13

Lecture 31: Change of Basis; Image Compression

Gilbert Strang

Feb 10, 2009

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13548 views

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45:55

Lecture 11: Matrix Spaces; Rank 1; Small World Graphs

Gilbert Strang

Feb 10, 2009

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13808 views

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47:39

Lecture 13: Quiz 1 Review

Gilbert Strang

Feb 10, 2009

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12241 views

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41:52

Lecture 33: Left and Right Inverses; Pseudoinverse

Gilbert Strang

Feb 10, 2009

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8147 views

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49:26

Lecture 30: Linear Transformations and Their Matrices

Gilbert Strang

Feb 10, 2009

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10507 views

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48:19

Lecture 24b: Quiz 2 Review

Gilbert Strang

Feb 10, 2009

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7490 views

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49:12

Lecture 18: Properties of Determinants

Gilbert Strang

Feb 10, 2009

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11305 views

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51:02

Lecture 23: Differential Equations and exp(At)

Gilbert Strang

Feb 10, 2009

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12158 views

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51:50

Lecture 22: Diagonalization and Powers of A

Gilbert Strang

Feb 10, 2009

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13792 views

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46:00

Lecture 6: Column Space and Nullspace

Gilbert Strang

Feb 10, 2009

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22117 views

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50:40

Lecture 27: Positive Definite Matrices and Minima

Gilbert Strang

Feb 10, 2009

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9661 views

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46:48

Lecture 3: Multiplication and Inverse Matrices

Gilbert Strang

Feb 10, 2009

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25309 views

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48:50

Lecture 15: Projections onto Subspaces

Gilbert Strang

Feb 10, 2009

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14175 views

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45:55

Lecture 28: Similar Matrices and Jordan Form

Gilbert Strang

Feb 10, 2009

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10008 views

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48:04

Lecture 16: Projection Matrices and Least Squares

Gilbert Strang

Feb 10, 2009

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13791 views

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51:22

Lecture 21: Eigenvalues and Eigenvectors

Gilbert Strang

Feb 10, 2009

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23195 views

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49:19

Lecture 10: The Four Fundamental Subspaces

Gilbert Strang

Feb 10, 2009

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16161 views

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47:41

Lecture 2: Elimination with Matrices

Gilbert Strang

Feb 10, 2009

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41374 views

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49:24

Lecture 17: Orthogonal Matrices and Gram-Schmidt

Gilbert Strang

Feb 10, 2009

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13207 views

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51:00

Lecture 20: Cramer's Rule, Inverse Matrix, and Volume

Gilbert Strang

Feb 10, 2009

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11474 views

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43:25

Lecture 34: Final Course Review

Gilbert Strang

Feb 10, 2009

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7836 views

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43:19

Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions

Gilbert Strang

Feb 10, 2009

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18660 views

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53:17

Lecture 19: Determinant Formulas and Cofactors

Gilbert Strang

Feb 10, 2009

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11798 views

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43:51

Lecture 25: Symmetric Matrices and Positive Definiteness

Gilbert Strang

Feb 10, 2009

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10063 views

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51:11

Lecture 24: Markov Matrices; Fourier Series

Gilbert Strang

Feb 10, 2009

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10246 views