Math 2270-1
Linear Algebra
Fall term, 2005

Homework Assignments

Send e-mail to : Professor Korevaar

Links:
Math 2270 home page
Professor Korevaar's home page
Department of Mathematics



Homework is generally due each Friday at the start of class, and solutions should be posted by the following Monday. The most recent assignments are listed first. Underlined problems are to be handed in, the remaining ones are optional.

Due Friday, December 9: (or sooner; just slide it under my door at LCB 204)
     See page 2 of dec2.pdf class notes
   solutions13.pdf
   conicquadric.pdf
   Grading: 22 points, distributed as follows:
     8.1   5 = 3 points, 14abc = 1 point each.
     8.3   7, 9 = 2 points each
     9.5   25 = 3 points (work by hand); 26 = 3 points (work by computer)
     9.6   23, 25 = 3 points each (work by computer).

Due Friday, December 2:
     7.5   1, 2, 3, 4, 5, 6, 9, 11, 21, 24, 30, 31, 32, 41, 45, 47.
     7.6   1, 3, 4, 11, 12, 17, 20, 37.
     7 review problems   multiples of 6 - if true explain, if false give counterexample.
   solutions12.pdf
   Grading: 28 points, distributed as follows:
     7.5   1, 2, 9, 11, 21, 24 = 1 point each, 32a, 32b = 2 points each;
     7.6   3, 4, 11, 12 = 1 point each; 17 = 2 points.
     review TF   6, 12, 18, 24, 30, 36 = 2 points each.

Due Wednesday, November 23:
     7.4   14, 17, 23, 25, 27, 31, 35, 37, 38, 47, 54.
   solutions11.pdf
   Grading: 19 points, distributed as follows:
     7.4:   14, 17 = 3 points each, 25, 27 = 2 points each, 31 = 3 points, 37, 38, 47 = 2 points each.

Due Friday, November 18:
     7.1   1, 2, 4, 6, 7, 15-19, 24, 27, 30, 31, 32, 49.
     7.2   9, 12, 19, 21, 25, 26, 27, 28, 38.
     7.3   7, 13, 20, 23, 27, 28, 35, 36, 38, 44.
   solutions10.pdf
   Grading: 31 points, distributed as follows:
     7.1:   2, 4, 6, 16, 17, 18 = 1 point each; 24, 49 = 2 points each.
     7.2:   9 = 1 point, 12, 19, 21 = 2 points, 28 = 3 points;
     7.3:   13, 20 = 2 points, 23, 27 = 1 point, 28 = 2 points, 44 = 3 points.

Due Friday, November 11:
     6.1   9, 10, 17, 32, 42, 43, 51;
     6.2   1, 2, 9, 11, 15, 16, 17, 30, 31, 32, 35, 37, 38, 50;
     6.3   1, 5, 7, 8, 11, 13, 18, 19, 20, 21, 22, 25, 26, 48.
   solutions9.pdf
   Grading: 28 points, distributed as follows:
     6.1:   10, 17, 42 = 1 point each; 51 = 2 points.
     6.2:   9 = 1 point, 17 = 2 points, 31a = 1 point, 31b = 2 points, 32 = 1 point, 35 = 2 points.
     6.3:   1 = 1 point, 7 = 2 points, 11 = 2 points, 13 = 1 point, 18a = 2 points, 18b = 1 point, 22, 25 = 2 points each, 26 = 1 point.

Due Tuesday November 1:
     http://www.math.utah.edu/~korevaar/2270fall05/project2
   proj2asols.pdf
   proj2bsols.pdf (for the actual maple files, use the suffix .mws rather than .pdf)
   Grading: 39 points, distributed as follows:
     2a:   1, 2, 3 = 4 points each; 4 = 2 points, 5 = 4 points.
     2b:   1 - 7 = 3 points each;

Due Tuesday Nov 1:
     5.4   1 2, 3, 5, 21, 22, 23, 25, 31, 32, 39.
   solutions8.pdf
   Grading: 13 points, distributed as follows:
     5.4:   2 = 2 points, 5 = 1 point, 22, 23, 25, 31, 32 = 2 points each.

Due Friday, October 21:
     5.1   1, 3, 5, 6, 7, 9, 12, 14, 15, 17, 18, 22, 23, 25, 26, 27, 29, 33.
     5.2   3, 4, 13, 17, 18, 27, 29, 32, 33, 35, 36, 42.
     5.3   1, 2, 7, 11, 15, 19, 21, 27 , 31, 35, 40.
   solutions7.pdf
   Grading: 27 points, distributed as follows:
     5.1:   6 = 1 point, 12, 14, 17, 27 = 2 points each, 29 = 1 point.
     5.2:   4, 18, 29, 32, 35 = 2 points each.
     5.3:   7, 11, 15 = 1 point each, 27, 40 = 2 points each,

Due Friday, October 14:
     4.1   1, 2, 5, 6, 10, 13, 14, 20, 25, 30, 35, 48;
     4.2   1, 2, 5, 6, 10, 19, 26, 27
     4.3   1, 2, 3, 5, 7, 8, 13, 15, 21, 26, 29, 35, 42, 49. problems 21, 26, 35 are now optional!
     4- Review   T-F all multiples of 4, pages 183-185; if true, explain. if false, give counterexample
   solutions6.pdf
   Grading: 46 points, distributed as follows:
     4.1:   2 = 2 points, 6 = 1 point, 10 = 2 points, 20 = 2 points, 35 = 2 points, 48b = 2 points.
     4.2:   2 = 2 points, 5 = 1 point, 6 = 3 points, 10 = 2 points, 27 = 2 points.
     4.3:   2 = 2 points, 7, 8 = 3 points each, 42a = 2 points, 42b, c = 1 point each, 49 = 2 points.
     T/F:   8, 12, 20, 32, 40, 52 = 2 points each (1 point for answer, one point for justification).

   Due Friday, September 30:
     3.4   1, 3, 5, 6, 11, 14, 15, 16, 17, 21, 22, 31, 33, 43, 53, 56.
   solutions5.pdf
   Grading: 18 points, distributed as follows:
     3.4: 3 = 1 point, 6, 11, 14 = 2 points each; 21, 22 = 3 points each; 31 = 2 points, 43 = 1 point, 56 = 2 points.

   Due Friday, September 23:
   Wait! We've postponed the due date on the Maple project (only) til Monday September 26

   Book homework is still due this Friday.
     2270proj1.pdf   First Maple project, in pdf (browser viewing) format.
     2270proj1.mws   First Maple project, in mws (Maple Work Sheet) format, to be opened from Maple.
   project1asolutions.pdf
   Grading: 39 points, distributed as follows:
     part1a: 1a, 1b = 2 points, 1c = 4 points, 1d = 2 points, 1e, 2a, 2b = 3 points each.
     part1b: fractal reconstruction = 10 points, new fractal = 10 points.
     2270tut.pdf   tutorial
     2270tut.mws   tutorial
     http://www.math.utah.edu/~korevaar/fractals   fractals directory
     3.1   3, 5, 6, 13, 19, 21, 23, 24, 25, 32, 33, 34, 37;
     3.2   1, 4, 5, 7, 8, 14, 15, 21, 24, 33, 45;
     3.3   6, 7, 18, 21, 25 (technology!), 29, 32, 36, 37.
   solutions4.pdf
   Grading: 28 points, distributed as follows:
     3.1: 6, 13 = 2 points each; 19, 21, 23, 24, 32, 33 = 1 point each;
     3.2: 1, 8, 14, 15, 21 = 1 point each; 33 = 2 points;
     3.3: 6, 18 = 2 points each; 25 = 3 points, 29, 32, 36, 37 = 1 point each.

   Due Friday, September 16:
     2.3   29, 33, 34, 38
     2.4   16, 17, 19, 20, 21, 23, 25, 28, 43, 44, 86.
     p. 97-99   justify answers!   3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.
   solutions3.pdf
   Grading: 29 points, distributed as follows:
     2.3: 29 = 2 points, 33 = 1 point, 34 = 2 points, 38 = 1 point;
     2.4: 16, 19, 23, 28, 43 = 1 point each; 44 = 2 points.
     review: 6, 9, 15, 21, 24, 30, 33, 36 = 2 points each (1 point for answer, 1 point for reason)

   Due Friday, September 9:
     class problems:  Bob problems 1 & 2 in sept2.pdf class notes.
     2.1   1 3, 4, 5, 6, 7, 8, 10, 13, 16, 17, 19, 21, 24, 25, 27, 28, 30, 32, 36, 39, 42;
     2.2   1, 2, 7, 9, 10, 11, 12, 13, 17, 27, 35, 36, 37, 38, 43, 44, 49;
     2.3   1, 2, 5, 6;
     2.4   1, 4, 14.
   solutions2.pdf
   Grading: 33 points, distributed as follows:
     Bob   1a, 1b, 2 = 2 points each;
     2.1: 5, 6, = 1 point each; 10, 13 = 2 points each; 24, 27, 28 = 1 point each; 42a = 2 points, 42b = 1 point.
     2.2: 1, 2 = 1 point each; 11, 27, 43 = 2 points each.
     2.3: 2, 6 = 2 points each.
     2.4: 4 = 1 point, 14 = 2 points.

   Due Friday, September 2:
     1.1   1, 3, 6, 11, 13, 14, 17, 19, 21, 24, 27, 28 29.
     1.2   1, 5, 10, 16, 17, 18, 20, 21, 24, 25, 29, 30, 32, 34, 35, 37, 38, 39, 41.
     1.3   1, 5, 6, 7,9, 11, 13,14, 17, 18, 20, 22, 24, 27, 30, 31, 32, 33, 34, 35, 55.
   solutions1.pdf
   Grading: 32 points, distributed as follows:
     1.1: 6 = 1 point, 11 = 2 points, 13 = 1 point, 24, 27 = 2 point each;
     1.2: 5 =1 point, 10 = 2 points, 16 = 1 point, 29, 30 , 35 = 2 points each;
     1.3: 1, 5 = 2 points each, 6, 14, 18, 20, 22, 24, 30, 32, 33, 55 = 1 point each.