Intro to Linear Algebra
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There is no course textbook. Notes and homework assignments will be posted here. For further reading I recommend Gilbert Strang's Introduction to Linear Algebra. Professor Strang also has video lectures available on the web. Office Hours: M,Tu,W,Th after class until 2pm | ||
| Item | Date | Information |
|---|---|---|
| Syllabus | ||
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Homework 1 Solutions |
Fri, May 26 |
Week 1 Notes Two Ways to Think of Vectors Vector Arithmetic The Dot Product Lengths and Angles |
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Quiz 1 |
Tues, May 30 | |
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Homework 2 Solutions |
Fri, June 2 |
Week 2 Notes One Equation = A Shape in Space Simultaneous Equations = Intersection of Shapes Lines and Planes in 2D and 3D One Linear Equation = A Hyperplane |
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Quiz 2 |
Mon, June 5 | |
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Homework 3 Solutions |
Fri, June 9 |
Week 3 Notes Old HW3 & Solutions Systems of Linear Equations Row Picture = Intersection of Hyperplanes Column Picture = Linear Combination of Vectors Gaussian Elimination & RREF |
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Quiz 3 |
Mon, June 12 | |
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Homework 4 Solutions |
Fri, June 16 |
Week 4 Notes The Matrix Notation Ax=b Matrices are Functions Matrix Multiplication = Function Composition Rules of Matrix Arithmetic Existence/Computation of Inverse Matrices |
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Quiz 4 |
Mon, June 19 | |
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Homework 5 Solutions |
Fri, June 16 |
Week 5 Notes Fitting a Line to Data Points Projections in Data Space Projection Matrices Least Squares Regression |
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Quiz 5 |
Mon, June 26 | |
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Homework 6 |
Wed, June 28 |
Week 6 Notes Eigenvalues and Eigenvectors The Characteristic Equation Phase Portrait of a 2X2 Matrix Fun Examples |
| Final Exam | Fri, June 30 | |