Intro to Linear Algebra
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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 |
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Homework 1 |
Fri, Jan 25 |
Course Notes (Des)Cartesian Coordinates Vector Notation Lengths and Angles Dot Product |
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Homework 2 |
Fri, Feb 1 |
Course Notes Equations = Geometric Objects Simultaneous Equations = Intersections Systems of Linear Equations "Parametrizing" the Solution |
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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) |
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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 |
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Homework 5 |
Fri, Feb 22 |
Course Notes The Cross Product When is a Matrix/Function Invertible? How to Compute the Inverse |
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Exam 1 Solutions |
Fri, Mar 1 |
Total: 30 points A = 20-29 B = 13-19 C = 6-11 |
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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 |
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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 |
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Homework 8 |
Mon, Apr 8 |
Course Notes Eigenvalues and Eigenvectors The Characteristic Equation of a 2X2 Matrix Eigen-properties of Geometric Transformations |
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Homework 9 Solutions |
Mon, Apr 15 |
Course Notes Matrices = Dynamical Systems Phase Portrait of a Dynamical System Fibonacci Numbers, etc. |
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Exam 2 Solutions |
Fri, Apr 19 |
Total: 30 points A = 26-30 B = 18-25 C = 13-17 D = 7-12 |
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After Exam 2 |
None |
Course Notes Summary Review |
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Final Exam |
Mon, May 6 | 11:00 -- 1:30 |