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 27 - 31 Assignments |
M: The Fundamental Problem in Linear Algebra
W: Solutions to Systems of Linear Equations F: Matrices and Gaussian Elimination |

Week #2:
Sep 3 - 7 Assignments |
M: Labor Day: No class.
W: Logic. What is a Proof? F: What is a Theorem? Techniques of proof. |

Week #3:
Sep 10 - 14 Assignments |
M: Vector Spaces
W: Geometry of Linear Equations F: Dr. Handron out of town. No class. |

Week #4:
Sep 17 - 21 Assignments |
M: Linear Transformations
W: Linear Transformations and Matrices F: Matrix Operations |

Week #5:
Sep 24 - 28 Assignments Exam Review |
M: Representations of Matrix Multipllication
W: Inverse of a Matrix F: Exam #1 is scheduled for Friday, September 28, during class time, in McConomy Auditorium. |

Week #6:
Oct 1 - 5 Assignments |
M: Finding Matrix Inverses
W: Properties of the Determinants F: Cofactor Expansion - Introduction |

Week #7:
Oct 8 - 12 Assignments |
M: The Laplace Expansion Formula.
W: The Eigenvalue Problem F: Properties of Eigenvalues and Eigenvectors Administreative Note: Monday, October 8 is the course drop deadline. Students dropping after this date will receive a grade of W. |

Week #8:
Oct 15 - 19 Assignments |
M: Subspaces
W: Properties of Linear Independence, and Bases F: Mid-Semester Break. No class. |

Week #9:
Oct 22 - 26 Assignments Exam Review |
M: Basis and Dimension of Row Spaces
W: Basis and Dimension of Column Spaces and Null Spaces F: Installation of Farnam Jahanian as CMU President. No Class. |

Week #10:
Oct 29 - Nov 2 Assignments |
Exam #2 will happen at some point during Week #9 or Week #10.
M: Eigenvalues, Eigenvectors, Eigenspaces, Multiplicity W: Orthogonal Vectors and Subspaces F: Orthogonal Projections |

Week #11:
Nov 5 - 9 Assignments |
M: The Orthogonal Decomposition Theorem, and Orthogonal Matrices
W: Orthogonal Matrices. The Gram-Schmidt Process F: Least Squares Approximations Administreative Note: Tuesday, November 6, is the course withdrawl deadline. Students may not withdraw after this date. |

Week #12:
Nov 12 - 16 Assignments Exam Review |
M: Coordinates, Change of Basis
W: Matrix of a Linear Transformation F: Exam #3 is scheduled for Friday, November 16, during class time, in McConomy Auditorium. |

Week #13:
Nov 19 - 23 Assignments |
M: Coordinate Representations of Linear Transformations
W: Thanksgiving Break. No class. F: Thanksgiving Break. No class. |

Week #14:
Nov 26 - 30 Assignments |
M: Similarity
W: Diagonalization F: Orthogonal Diagonalization of Symmetric Matrices |

Week #15:
Dec 3 - 7 Assignments |
M: Real Symmetric Matrices are Orthogonally Diagonalizable
W: Singular Value Decomposition F: Computing the Singular Value Decomposition of a Matrix |

Final Exam
Exam Review |
The Final Exam has been scheduled for Tuesday, December 11 from 5:30-8:30pm in POS A35. Please take this into account when making your travel plans. |