All assignments are from Linear Algebra and Its Applications 4th edition by David Lay unless otherwise noted.
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| Assignment | Topic (click for lesson) | Due Date | |||
|---|---|---|---|---|---|
| Section | Pages | Problems | Examples | ||
| Linear Systems and Matrix Arithmetic | |||||
| Lesson | Systems of Linear Equations | in class | Yes | ||
| Practice | 1.1 | 10-12 | 11-13, 21-22 |
15.01.15 | |
| 1.2 | 21-23 | 11 |
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| Lesson | Vector Arithmetic | 15.01.15 |
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| Practice | 1.3 | 32-34 | 11-14, 16-17, 19 | 20.01.15 |
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| 1.4 | 40-42 | 1-4 |
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| 2.1 | 100-102 | 1-2, 7, 10-12 |
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| Lesson | Invertible Matrices | 20.01.15 |
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| Practice | 2.2 | 109-111 | 7, 11, 13, 33-35 | 22.01.15 |
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| 2.3 | 115-116 | 5-10, 15, 27 | |||
| Real Vector Space Properties | |||||
| Lesson | Homogeneous Linear Independence |
22.01.15 |
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| Practice |
1.7 | 60-62 | 1-6, 13-14, 21-24 | 27.01.15 |
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| Lesson | Big Theorem | 27.01.15 |
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| Practice |
1.5 | 47-48 | 5-6, 13, 18, 23-24 | 29.01.15 |
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| Lesson | Arithmetic Theorems | 29.01.15 |
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| Practice | 1.3 | 32-34 | 33-34 | 03.02.15 |
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| 1.4 | 40-42 | 35 | |||
| 1.5 | 47-48 | 25-26 | |||
| Lesson | Linear Transformations | 03.02.15 |
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| Practice | 1.8 | 68-70 | 2-3, 8, 10, 15-17 |
05.02.15 |
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| 1.9 | 78-79 |
1-2, 17-20, 25-26, 35 | |||
| Lesson | Determinants | 05.02.15 |
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| Practice | 3.1 | 167-169 | 9-10 | 10.02.15 |
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| 3.2 | 175-176 | 6-7, 21-22, 24-25, 31-33 | |||
| Lesson | Determinants Again | 10.02.15 |
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| Practice | 3.3 | 184-185 | 4-5, 11-12 (if you feel like it) |
12.02.15 |
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| Exam | Exam 1 | 12.02.15 |
Key | ||
| Bases | |||||
| Lesson | Vector Spaces | 17.02.15 |
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| Practice | 4.1 | 195-198 | 1-2, 5-6, 8-9, 31 | 19.02.15 |
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| 4.2 | 205-208 | 1-2, 5-6, 23-24, 27 |
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| Lesson | Bases | 19.02.15 |
Yes | ||
| Practice |
4.3 |
213-215 |
3-6, 9-11, 15-16, 32 |
24.02.15 |
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| Lesson | Coordinates | 24.02.15 |
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| Practice |
4.4 | 222-224 | 1-8, 18 | 26.02.15 |
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| Lesson |
Dimension | 26.02.15 |
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| Practice |
4.4 |
222-224 |
23-24 |
03.03.15 |
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| 4.5 |
229-230 |
1-6, 11-12, 21, 26-27 |
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| Lesson | Rank |
03.03.15 |
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| Practice |
4.5 |
229-230 |
13-14 |
05.03.15 |
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| 4.6 | 236-238 | 3-6, 13, 15-16 | |||
| Lesson | Change of Basis | 05.03.15 |
Notes |
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| Spring Break |
09.03.15- 13.03.15 |
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| Practice | 4.7 | 242-244 | 1-2, 7-8, 12a | 17.03.15 |
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| Eigenvectors | |||||
| Lesson | Eigenvectors and Characteristic Equations | 17.03.15 |
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| Practice | 5.1 | 271-273 | 5-8, 11-14, 25 | 19.03.15 |
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| 5.2 | 279-281 | 1-4, 9, 20 | |||
| Lesson | Diagonalization | 19.03.15 |
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| Practice | 5.3 | 286-287 |
1, 7-10, 18 | 24.03.15 |
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| Lesson | Eigenvectors and Linear Transformations | 24.03.15 |
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| Practice | 5.4 | 293-294 | 1-3, 5 |
26.03.15 |
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| Exam | Exam 2 | 26.03.15 |
Key | ||
| Inner Product Spaces | |||||
| Practice |
4 |
Download | 31.03.15 |
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| Lesson | Inner Products and Orthogonality | 31.03.15 |
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| Practice | 6.7 | 382-383 | 3-6, 21-24 | 02.04.15 |
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| Lesson | Orthogonal Sets | 02.04.15 |
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| Practice | 6.2 | 344-346 | 1-4, 12-13, 15, 29 | 07.04.15 |
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| 6.7 | Download | All | |||
| Lesson | Projection | 07.04.15 |
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| Practice | 6.3 | 352-353 |
1-2, 13-14 |
09.04.15 |
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| 6.7 |
382-383 |
11 |
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| Lesson | Gram-Schmidt | 09.04.15 |
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| Practice |
6.4 |
358-359 |
5-6, 9-10 |
14.04.15 |
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| 6.7 |
382-383 |
25 |
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| Exam |
Exam 3 |
14.04.15 |
Key | ||
| Lesson |
Least Squares | 16.04.15 |
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| Practice | 6.5 | 366-367 |
1-6 | 21.04.15 |
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| 6.6 | 374-375 | 1-4 | |||
| Lesson | Linear Algebra over Finite Fields |
21.04.15 |
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| Practice | |
23.04.15 |
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| Lesson | Linear Algebra over Finite Fields | 23.04.15 |
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| Exam | All | 28.04.15 |
Key | ||