Homework for
Math 342; Linear Algebra II
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3/28 |
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Complementary homework I, in .pdf |
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3/30 |
5.3 |
1, 3, 5, 7, 8, 10, 16, 19, 21, 23, 24, 31; Review linear transformations and their matrices: 1.8, 1.9 |
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4/1 |
4.4 |
2, 4 |
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5.4 |
7, 8, 11, 12 |
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Homework due Wednesday, April 6 |
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4/4 |
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p. 332, Practice problem 1 |
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5.4 |
1-6, 9, 13-16, 21 |
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4/6 |
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Review your trigonometry: values for sin and cos for popular angles |
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4/8 |
5.5 |
1, 3, 6, 10, 11, 13, 15; |
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Complementary homework II in .pdf |
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Homework due Wednesday, April 13 |
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4/11 |
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No class; Complementary homework 3 in .pdf |
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4/13 |
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Pagerank Exercise – not mandatory |
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4/15 |
5.4 |
5c, 6c |
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Homework due Wednesday, April 20 |
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4/18 |
5.6 |
1, 3, 5, 7, 9-12 |
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4/20 |
6.1 |
1, 2, 7, 8, 9, 10, 14 |
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4/22 |
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Prove Pythogorean theorem (from class) Prove that orthogonal complement to a subspace is again a subspace (problem 30 from 6.1) |
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6.1 |
12, 13, 23, 24, 30, 31 |
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Homework due Wednesday, April 27 |
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4/25 |
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Review, no homework |
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4/27 |
6.1 |
19 |
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6.2 |
1, 6, 7, 18, 19, 20 |
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4/29 |
6.2 |
8-12, 14, 15, 26, 31 |
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Prove Theorem from class: formula for the coordinates relative to an orthogonal basis |
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Homework due Wednesday, May 4 |
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5/2 |
6.3 |
1, 3, 4, 7, 8, 12, 14, 16, 19, 23 |
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5/3 |
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Prove 3 properties of orthogonal transformations as formulated in class: i) Ux.Uy=x.y; ii) ||Ux|| =||x||; iii) x is orthogonal to y iff Ux is orthogonal to Uy |
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6.2 |
Practice problem 3, 27-29 |
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6.3 |
17, 18 |
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5/4 |
6.4 |
1, 2, 3, 6, 8, 9, 12 |
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5/6 |
6.4 |
13, 16, 17, 18 |
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Homework due Wednesday, May 11 |
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5/9 |
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Proof from class: if x satisfies normal equations then x is a least-squares solution |
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6.5 |
3, 4, 5, 7, 8, 9, 13, 14, 17, 19 |
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5/11 |
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Extra credit: problem 1 from the quiz. Turn in Monday, May 16 |
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5/13 |
6.7 |
1, 3, 5, 9, 21-25 |
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Prove that the function (p,q)=p(0)q(0) + p(1/2)q(1/2) + p(1)q(1) defines inner product on P_2 |
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Homework due Wednesday, May 18 |
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5/16 |
6.7 |
11, 13, 17, 19, 20 |
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5/18 |
7.1 |
1-12, 13, 16, 17, 20, 23 |
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5/20 |
7.1 |
27, 33, 34 |
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Homework due Wednesday, May 25 |
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5/23 |
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Review, no homework |
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5/25 |
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Exam, no homework |
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5/27 |
7.2 |
1a, 2b, 3, 6, 7, 8, 19 |
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Homework due Wednesday, June 1 |
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