Math 309: Linear Algebra


Section 3
Fall 2010
Department of Mathematics
Michigan State University

Note: Solutions have been taken off the webpage.
Homework problems are due to the next next class after the class day. For example, homework assigned on Friday 9/10 will be due Wednesday 9/15.
Gaussian elimination calculator that shows individual steps. Wolfram Alpha can symbolically solve systems of linear equations. Example 1. Example 2.
Class Day Homework
9/1 2.2: 6a, 2.3: 1b, 5a, 4b
9/3 2.1: 3, 2.2: 4, 2.3: 7
9/10 See sheet.
9/13 1.1: 1ac, 2ac. Show (via truth tables)
~(A or B) is (~A and ~B)
9/15 See sheet.
9/17 1.3: 1, 7, 10 (only need 1 proof).
9/20 Verify that F(X; V) satisfies vector space axioms 3, 5.
1.6: 6, 8 (just show it is closed). 1.7: 2bdf
9/22 1.8: 1, 4, 6, 8, 19.
9/24 See sheet.
9/27 3.1: 3ac, 4ac, 11
3.2: 2, 3, 6, 7, 14
Supplementary material for Chapter 3 (thanks to Prof. Rotthaus)
9/29 3.3: 3, 4, 6, 9, 13, 14.
10/1 3.2: 11, 13. 3.3: 15, 17.
10/4 See sheet.
10/6 3.5: 5, 6, 9, 17, 21
10/8
10/11
10/13 Test 1 Today.
Review Sheet.
10/15 4.1: 2, 4a-d, 8, 12, 14.
10/18 See sheet.
10/20 4.2: 5, 9, 15. 4.3: 7a, 9.
10/22 4.4: 11, 13. 4.5: 1, 3, 6.
10/25 4.4: 9, 12, 14
4.5: 4.
10/27 See sheet.
10/29, 11/1 See sheet. (Due Friday 11/5)
11/3 5.1: 2.
6.3: 1, 2, 3, 4.
11/5 5.1: 7,8,9a
6.1: 17,18.
Prove the composition of two linear maps is linear.
11/8 5.1: 11, 13.
11/10, 11/12 Due Monday 11/15.
3.6: 1, 5 (do general case for both), 6.
6.3: 8 (3rd poly should be (x-1)^2), 9, 10
6.4: 1, 2.
11/17 Test 2. Review. Partial Solutions
11/19 Due Mon 11/29:
5.2: 4ace, 5, 6.
6.7: 1, 2.
11/22 Due Wed 12/1 .
11/29 7.2: 1, 2, 7a-d, 11.
12/1 8.1: 2, 3, 7.
12/3 8.3: 2, 4
8.4: 6
Test 3a: 1:30p in A-204a Wells Hall.
12/6 Test 3b: 6p in A-304 Wells Hall.
No more due homeworks. Study for final.
12/8
12/10 Review for Final
Reviews and tests from the semester
Last year's final
12/13 Final Exam 10:00am-12:00pm
C209 Wells Hall