Welcome to the Videotaped Lectures webpage for MIT's Course 18.06: Linear Algebra .

Standard Athena workstation configurations will allow you to view the 18.06 lecture videos. If you wish to access the videos from a Mac or PC, you should download the RealPlayer. You do not need the Plus Version of the RealPlayer - the free RealPlayer will work fine.

** NOTE:** We are aware that some users are unable to access these lectures even if they were able to in the recent past. We are working at resolving this problem. In the meantime, please try viewing the same lectures at OCW. We apologize for any inconvinience.

Lecture #1: The Geometry of Linear Equations (56k)|(80k)|(220k) | Lecture #19: Determinant Formulas and Cofactors (56k)|(80k)|(220k) |

Lecture #2: Elimination with Matrices (56k)|(80k)|(220k) | Lecture #20: Cramer's Rule, Inverse Matrix, and Volume (56k)|(80k)|(220k) |

Lecture #3: Multiplication and Inverse Matrices (56k)|(80k)|(220k) | Lecture #21: Eigenvalues and Eigenvectors (56k)|(80k)|(220k) |

Lecture #4: Factorization into A = LU (56k)|(80k)|(220k) | Lecture #22: Diagonalization and Powers of A (56k)|(80k)|(220k) |

Lecture #5: Transposes, Permutations, Spaces R^n (56k)|(80k)|(220k) |
Lecture #23: Differential Equations and exp(At) (56k)|(80k)|(220k) |

Lecture #6: Column Space and Nullspace (56k)|(80k)|(220k) | Lecture #24 : Markov Matrices; Fourier Series (56k)|(80k)|(220k) |

Lecture #7: Solving Ax = 0: Pivot Variables, Special Solutions (56k)|(80k)|(220k) | Lecture #24.5 : Quiz 2 Review (56k)|(80k)|(220k) |

Lecture #8: Solving Ax = b: Row Reduced Form R (56k)|(80k)|(220k) | Lecture #25 : Symmetric Matrices and Positive Definiteness (56k)|(80k)|(220k) |

Lecture #9: Independence, Basis, and Dimension (56k)|(80k)|(220k) |
Lecture #26 : Complex Matrices; Fast Fourier Transform (56k)|(80k)|(220k) |

Lecture #10: The Four Fundamental Subspaces (56k)|(80k)|(220k) | Lecture #27 : Positive Definite Matrices and Minima (56k)|(80k)|(220k) |

Lecture #11: Matrix Spaces; Rank 1; Small World Graphs (56k)|(80k)|(220k) | Lecture #28 : Similar Matrices and Jordan Form (56k)|(80k)|(220k) |

Lecture #12: Graphs, Networks, Incidence Matrices (56k)|(80k)|(220k) | Lecture #29 : Singular Value Decomposition (56k)|(80k)|(220k) |

Lecture #13: Quiz 1 Review (56k)|(80k)|(220k) | Lecture #30 : Linear Transformations and Their Matrices (56k)|(80k)|(220k) |

Lecture #14: Orthogonal Vectors and Subspaces (56k)|(80k)|(220k) | Lecture #31: Change of Basis; Image Compression (56k)|(80k)|(220k) |

Lecture #15: Projections onto Subspaces (56k)|(80k)|(220k) | Lecture #32: Quiz 3 Review (56k)|(80k)|(220k) |

Lecture #16: Projection Matrices and Least Squares (56k)|(80k)|(220k) | Lecture #33: Left and Right Inverses; Pseudoinverse (56k)|(80k)|(220k) |

Lecture #17: Orthogonal Matrices and Gram-Schmidt (56k)|(80k)|(220k) | Lecture #34: Final Course Review (56k)|(80k)|(220k) |

Lecture #18: Properties of Determinants (56k)|(80k)|(220k) |

18.06 HOME PAGE