# Intro to Linear Algebra

Textbook: Introduction to Linear Algebra 4th Edition, by Gilbert Strang
Office Hours: Monday 2:00--3:00 and Wednesday 3:00-4:00 | ||

Assignment | Due Date | Details |
---|---|---|

Homework 1 |
Fri, Jan 25 |
Course Notes (Des)Cartesian Coordinates Vector Notation Lengths and Angles Dot Product |

Homework 2 |
Fri, Feb 1 |
Course Notes Equations = Geometric Objects Simultaneous Equations = Intersections Systems of Linear Equations "Parametrizing" the Solution |

Homework 3 |
Fri, Feb 8 |
Course Notes What is a Hyperplane? Row Picture and Column Picture The Idea of Elimination Reduced Row Echelon Form (RREF) |

Homework 4 |
Fri, Feb 15 |
Course Notes Matrix Notation is More Than Notation A Matrix is a Function Matrix Multiplication = Function Composition The Algebra of Matrices |

Homework 5 |
Fri, Feb 22 |
Course Notes The Cross Product When is a Matrix/Function Invertible? How to Compute the Inverse |

Exam 1 Solutions |
Fri, Mar 1 |
Total: 30 points A = 20-29 B = 13-19 C = 6-11 |

Homework 6 Some Solutions |
Fri, Mar 22 |
Course Notes Minimize the Distance from a Point to a Space Projecting a Point onto a Space Projection as a Matrix Projection as a Function |

Homework 7 Solutions |
Mon, Apr 1 |
Course Notes Least Squares Approximation Fitting a Line to Data Fitting Any Kind of Model to Data Matrices that Satisfy P^2=P and P^T=P |

Homework 8 |
Mon, Apr 8 |
Course Notes Eigenvalues and Eigenvectors The Characteristic Equation of a 2X2 Matrix Eigen-properties of Geometric Transformations |

Homework 9 Solutions |
Mon, Apr 15 |
Course Notes Matrices = Dynamical Systems Phase Portrait of a Dynamical System Fibonacci Numbers, etc. |

Exam 2 Solutions |
Fri, Apr 19 |
Total: 30 points A = 26-30 B = 18-25 C = 13-17 D = 7-12 |

After Exam 2 |
None |
Course Notes Summary Review |

Final Exam |
Mon, May 6 | 11:00 -- 1:30 |