21-241 Matrix Algebra |

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For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Aug 28 - Sep 1 Assignments |
M: The Fundamental Problem in Linear Algebra
W: Solutions to Systems of Linear Equations F: Matrices and Gaussian Elimination |

Week #2:
Sep 4 - 8 Assignments |
M: Labor Day: No class.
W: Logic. What is a Proof? F: What is a Theorem? Techniques of proof. |

Week #3:
Sep 11 - 15 Assignments |
M: Vector Spaces
W: Geometry of Linear Equations F: Linear Transformations |

Week #4:
Sep 18 - 22 Assignments |
M: Linear Transformations and Matrices
W: Matrix Operations F: Representations of Matrix Multipllication |

Week #5:
Sep 25 - 29 Assignments Exam Review |
M: Inverse of a Matrix
W: Finding Matrix Inverses F: Exam #1 is scheduled for Friday, September 29, from 7:30-8:20AM in McConomy Auditorium. |

Week #6:
Oct 2 - 6 Assignments |
M: Properties of the Determinants
W: Cofactor Expansion - Introduction F: The Laplace Expansion Formula. |

Week #7:
Oct 9 - 13 Assignments |
M: The Eigenvalue Problem
W: Properties of Eigenvalues and Eigenvectors F: Subspaces |

Week #8:
Oct 16 - 20 Assignments |
M: Properties of Linear Independence, and Bases
W: Basis and Dimension of Row Spaces F: Mid-Semester Break. No class. |

Week #9:
Oct 23 - 27 Assignments |
M: Dr. Handron is out of town. No Class.
W: Basis and Dimension of Column Spaces and Null Spaces F: Eigenvalues, Eigenvectors, Eigenspaces, Multiplicity |

Week #10:
Oct 30 - Nov 3 Assignments Exam Review |
M: Exam #2 is scheduled for Monday, October 30, from 7:30-8:20AM in McConomy Auditorium.
M: Makuep Lecture, Orthogonal Vectors and Subspaces W: Orthogonal Projections F: The Orthogonal Decomposition Theorem, and Orthogonal Matrices |

Week #11:
Nov 6 - 10 Assignments |
M: Orthogonal Matrices. The Gram-Schmidt Process
W: Least Squares Approximations F: 50th Anniversery Celebration. No class. |

Week #12:
Nov 13 - 17 Assignments |
M: Coordinates, Change of Basis
W: Matrix of a Linear Transformation F: Coordinates in Other Vector Spaces |

Week #13:
Nov 20 - 24 Exam Review |
M: Exam #3 is scheduled for Monday, November 20, from 7:30-8:20AM in McConomy Auditorium.
W: Thanksgiving Break. No class. F: Thanksgiving Break. No class. |

Week #14:
Nov 27 - Dec 1 Assignments |
M: Coordinate Representations of Linear Transformations
W: Similarity F: Diagonalization |

Week #15:
Dec 4 - 8 Assignments |
M: Orthogonal Diagonalization of Symmetric Matrices
W: Real Symmetric Matrices are Orthogonally Diagonalizable F: Singular Value Decomposition. Computing the Singular Value Decomposition of a Matrix |

Final Exam
Exam Review |
The Final Exam has been scheduled for Monday, December 11 from 1:00-4:00pm . The location has not yet been determined. Please take this into account when making your travel plans. |