Math 2270
Linear Algebra
Fall term, 2000

Homework Assignments

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Homework assignments (most recent first):

Bold-face problems are to be handed in, others are only recommended.

  Due Friday December 8
     8.10:   10, 15, 23, 25, 26 Last hw for this term, hurray!
We will discuss quadric surfaces some more on Monday. On Tuesday and Wednesday I will discuss some applications of eigenvalues and eigenvectors to systems of differential equations. This will be for fun, and there will be no homework.

   Due Friday November 29
     Varberg, page 674 (Friday 11/17 handout):   1, 4
     Problem Iabc, from Monday 11/20 handout
     Appendix A.2:   5, 11
     8.9:   1, 2, 3, 11, 12, 14, 19, 20, 21, 23, 25, 26
   Grading: 28 points total, distributed as follows:
     Varberg, page 674:   1 = 2 points, 4 = 4 points
     I:   a, b = 1 point each, c = 2 points
     Appendix A.2:   5a = 2 points, 11a = 2 points, 11c = 2 points
     8.9:   21 = 3 points, 23 = 3 points, 25 = 3 points, 26 = 3 points.

   Due Friday November 17
     5.1:   5, 8, 10, 15, 17, 25
     5.2:   2, 5, 6, 14, T2, T4, T6, T8
   Grading: 19 points, distributed as follows
     5.1:   5 = 2 points, 10 = 2 points, 15 = 2 points, 17 = 2 points, 25 = 2 points.
     5.2:   2 = 2 points, 6 = 2 points, 14 = 2 points, T2 = 2 points, T4 = 1 point.

   Due Friday November 10 (originally due Wednesday)
     6.2:   5, 10, 17, 18, T2, T5, T7
     6.3:   3, 6, 8, 13, 14
   Grading: 23 total points, distributed as follows:
     6.2:   10abc, 17ab, 18ab, T2ab, T5, T7 = 1 point each.
     6.3:   6a = 1 point, 6b= 2 points, 8a = 1 point, 8b = 3 points, 13a = 1 point, 13b = 2 points, 13c = 2 points.

   Due Friday November 3
     B.1:   9, 14, 15, 17, 28 Use the interval [-1,1] rather than the interval [0,1]. This is the way we did things in class.
     6.1:   1, 5, 6, 13, 14, 17, 18, T3
   Grading: 20 points total, distributed as follows:
     B.1:   9 = 1 point, 14ab = 1 point each, 15a = 2 points, 17a = 2 points, 17b = 1 point, 28 = 2 points.
     6.1:   5a = 1 point, 5b = 2 points, 6 = 2 points, 13 = 2 points, 14 = 2 points, 18a = 1 point.


   Due Friday October 27
     4.9:   1, 5, 7ab, 9, 12, T6
     8.4:   1, 2, 5, 6, 9, 11
   Grading: 21 total points, distributed as follows:
     4.9:   5 = 4 points, 7ab = 2 points each, 9 = 2 points, 12 = 2 points.
     8.4:   2 = 2 points, 6 = 2 points, 9 = 2 points, 11a = 2 points, 11b = 1 point.

   Due Friday October 20
     4.6:   5, 8, 10, 12, 16, 17 (Use technology to reduce tedious rref computations!)
     4.7:   4, 7, 13, 17
     4.8:   2, 5, 13, 17
   Grading: 24 total points, distributed as follows:
     4.6:   5ab, 8ab = 1 point each, 10 = 2 points, 16, 17 = 1 point each;
     4.7:   4 = 2 points, 13abcd = 1 point each, 17b = 2 points;
     4.8:   2abc = 1 point each, 5 = 1 point, 13, 17 = 2 points each.

   Due Friday October 13
     4.1:   1, 3, 4, 10, 11, 14, 15, T1, T2, T3, T4, T5, T6
     4.2:   2 5, 10, 14, 16, 18, 21a, 23cd
     4.3:   2, 5, 7, T1, T4, T10
     4.4:   1, 4, 11, 13 14, 15, 16, 21, 26, 30, T3, T4, T10
     4.5:   2, 5, 10, T4
   Grading: a total of 38 points, divided as follows:
     4.1   3 = 2 points, 4 = 2 points, 11 = 1 point, T1 = 2 points, T3 = 2 points
     4.2   5abc = 1 point each, 14abc = 1 point each, 23cd = 1 point each
     4.3   2b = 2 points, 2c = 1 point, 5 = 2 points, 10abc = 1 point each, T1 = 1 point
     4.4   4abcd = 1 point each, 14 = 1 point, 16 = 1 point, 21 = 1 point
     4.5   2 = 2 points, 5 = 2 points, T4 = 1 point.

   Due Wednesday September 27 (Because of exam Friday)
     3.5:   2ab, 7ab, 9, 11, 12, T1g, T6
     3.6:   1d, 2c, 4d, 6a, 7a, 8, 9a, 10a, 12a, 14, 15, 17, 20, 21.
  Grading: 20 points total, distributed as follows:
     3.5   2b = 1 point, 7b = 1 point, 9 = 2 points, 12 = 1 point, T.1g = 2 points.
     3.6   4d = 1 point, 6a = 1 point, 8 = 4 points, 9a = 1 point, 10a = 2 points, 15 =2 points, 16 = 2 points.

   Due Friday September 22:
     Prove the Pythagorean Theorem, using the square diagram we made in class.
     3.1:   5, 8, 9, 11a,c, 13, 18, 20a, 22c, 24
     3.2:   2a, 3c, 6ab, 10b, 12a, 13a, 14, 20a, 23, 26, T5, T6, T10, T13
     3.3   1, 2, 8, 9, 13, 18, , 21, 22, 23, , 25, 26, T1, T2, T4
   Grading: A total of 30 points, distributed as follows:
     Pythagorean Theorem = 2 points
     3.1   13 = 1 point, 18 = 2 points, 20a = 1 point, 22c = 1 point, 24 = 3 points
     3.2   6ab = 1 point each, 13a = 1 point, 14 = 1 point, 20a = 1 point, 26 = 1 point, T5 = 1 point, T10 = 2 points
     3.3   2abc = 1 point each, 8 = 1 point, 13a = 1 point, 18 = 1 point, 22b = 1 point, T1 = 2 points, T2 = 2 points.

   Due Friday September 15:
     2.1:   1, 2abf, 4a, 5, 19a, 20, T.3, T.5, T.6 , T.8, T.10
     2.2:   5a, 6b, 9, 10ab 14ab, 21 (just for x), T.4, T.5, T.7, T.10, T.11
     page 120:   11
   Grading: 22 points, distributed as follows:
     2.1   2f =1 point, 4a = 1 point, 5c = 1 point, 5d = 1 point, 19a = 1 point, 20abc = 1 point each, T3 = 1 point, T6 = 1 point
     2.2   5a = 1 point, 9abc = 1 point each, 10a = 2 points, 21 = 2 points, T10 = 1 point, T11 = 1 point
     page 120   11 = 2 points.

   Due Friday, September 8:
     1.5:   1, 7, 10a, 10b,c, 17a,b, T4, T5, T9, T11
     1.6:   4, 5, 6a, 8a, 8b,c, 17, 18, 24, 26, T.1, T.5, T.7, T.8 .
   Grading: 17 points, distributed as follows:
     1.5   10b = 2 points, 17b = 2 points, T5 = 2 points, T11 = 2 points
     1.6   8b = 2 points, 8c = 2 points, 18ab = 1 point each, 24 = 1 point, T1 = 1 point, T8 = 1 point.

   Due Friday, September 1:
     1.1:   1, 2, 3, 7, 13, 22, T.1-T.4
     1.2:   1, 2, 4ac, 5a, 6ab, 7bc, T3, T5
     1.3:   1a, 2a, 4, 6, 7, 9, 11, 18, 20b, 27,28, T.1, T.2, T.9, T.10, T.11-T.13
     1.4:   1, 7, 9, 10, 11, T.8, T.10, T.16, T.22, T.26
     1.5:   1, 7, 10a, 10b,c, 17a,b, T4, T5, T9, T11 ....Section 1.5 was postponed to Friday Sept 8..
   Grading: 28 points, distributed as follows:
     1.1:   7 = 1 point, 13 = 1 point, 22 = 2 points, T.3 = 2 points.
     1.2:   2 = 1 point; 5a = 1 point, 7c = 1 point, T.3abc = 1 point each.
     1.3:   6abcde = 1 point each, 9 = 1 point, 28 = 1 point, T.1ab = 1 point each, T.2b = 1 point, T.10 = 1 point.
     1.4:   7 = 1 point, 10 = 1 point, 11 = 1 point, T.22 = 1 point, T.26 = 1 point.