Math 308C - Matrix Algebra with Applications


Instructor: Beth Kelly
Email: beth (at) math.washington.edu
Time and place: MWF 11:30-12:20 in LOW 102
Office hours:Note the change! Mondays 1:30-2:30 and Fridays 10:30-11:20 in Padelford C-8J or by appointment

The course syllabus is now available as a pdf file or as a postscript file.


Announcements

  • 3/7: The final exam will be March 14th, 2:30-4:20 in our classroom. The exam will cover Chapter 1 (excluding sections 1.4 & 1.8), Chapter 3 (excluding sections 3.8 and 3.9), and Chapter 4 (excluding section 4.6). No graphing calculators are allowed. (In fact, you shouldn't even need a calculator!) You may make and use one page of notes (8 1/2 " x 11 " - both sides okay), however this page of notes must be handwritten. You will also turn in your notes with your exam. To study for the exam, I suggest you review homework and review the supplementary and conceptual exercises from Chapters 1, 3, and 4. Here are the minimal answers to the true/false conceptual exercises. For explanation, please ask. I will be holding extra office hours during the afternoon of Monday, March 12th, 12:30-4:30 in my office. Stop by if you have questions.
  • 3/6: Here is a sample final. If you'd like solutions, come to class on Friday.
  • 3/5: Here is a list of review questions to help you get ready for the final. I will post a sample final shortly.
  • 2/26: Here are the solutions to Exam 2. page 1 page 2 page 3 page 4page 5 page 6
  • 2/21: I will be holding extra office hours tomorrow, 2/22, at 12:30. Here are the solutions to the review worksheet in class. Remember, the worksheet does not include linear transformations, but they will be covered on the test. This was just to give you an idea of the types of problems that could appear. page 1 page 2 page 3 page 4
  • 2/14: Exam 2 will be in-class on February 23rd; you will have 50 minutes. The exam will cover Chapter 3, excluding Sections 3.8 and 3.9. No graphing calculators are allowed. (In fact, you shouldn't even need a calculator!) You may make and use one page of notes (8 1/2 " x 11 " - both sides okay), however this page of notes must be handwritten.
    You will also turn in your notes with your exam. Here is a review sheet (thanks to Catherine Williams). You can ignore the question at the end concerning least squares. All other questions are a good review of concepts you should know for the exam. Here are two sample exams. Sample Exam A and Sample Exam B. Solutions to Sample Exam A. Solutions to Sample Exam B: page 1 page 2 page 3 page 4 page 5
    To study for the exam, I suggest you look through all your homework problems, try some problems in the book that have not been assigned, and look at the sample exams above.
  • 2/10: Here are the solutions to quiz 2.
  • 2/9: The solutions to worksheet 1 are below.
    page 1 page 2 page 3 page 4 page 5 page 6 page 7 page 8 page 9
  • 1/29: Here are the solutions to Exam 1.
  • 1/22: I have changed my office hour on Wednesdays to Mondays from 1:30-2:30 to accomodate more students.
  • 1/19: Exam 1 will be in-class on January 26; you will have 50 minutes. The exam will cover Chapter 1, excluding Sections 1.4 and 1.8. No graphing calculators are allowed. (In fact, you shouldn't even need a calculator!) You may make and use one page of notes (8 1/2 " x 11 " - both sides okay), however this page of notes must be handwritten.
    You will also turn in your notes with your exam. Here is a Sample Exam. We have not defined rank yet, so you can ignore 5(b). Also, there are 7 problems here; a typical midterm would only have 5 of the 7 on it, in other words your exam on Friday will not be as long. Here are the solutions to the sample midterm. (There is one mistake in the solution to one of the proofs. Can you find it?) To study for the exam, I suggest you look through all your homework problems, try some problems in the book that have not been assigned, and look at the sample exam above. The homework listed for Wednesday, January 24th, contains many review problems, so those are good to look at as well.
  • 1/17: Here are the solutions to quiz 1. FYI: Problems 1 & 3 were worth 3 points each and problems 2 & 4 were worth 2 points each.

    Math 308 Homework Schedule

    To be turned in Friday, January 12:

  • Jan 3: Section 1.1: 1,3,6,11,14,25,34,36.
  • Jan 5: Section 1.2: 14,15,28,38,39,50.
  • Jan 8: Section 1.3: 2,6,19,22,28,32.
    Section 1.4: 1,4.
  • Jan 10: Section 1.5: 2,6,10,28,31,34,46,54,57.

    To be turned in Friday, January 19:

  • Jan 12: Section 1.6:3,6,8,9,24,27,35,41,47.
  • Jan 17: Section 1.7:4,5,16,19,29,30,34,40,46.

    Due Friday, January 26 (but not to be turned in):

  • Jan 19: Section 1.8: 1,27.
    Section 1.9: 1,3,6,7,10.
  • Jan 22: Section 1.9: 17,19,23,27,29,39,41,50,55.
  • Jan 24: Section 1.9: 67,68.
    Supplementary Excercises: 4,6,9,10.
    Conceptual Excercises : 1-16.

    Note: We will begin Chapter 3 on January 29th. Chapter 2 should be a review of Math 126. Look over this material and review if necessary to make sure you are familiar with it.

    Due Friday, February 2:

  • Jan 26: Read Section 3.1.
    Section 3.1: 7,13,16,23,24,29.
  • Jan 29: Section 3.2: 3,4,6,16,17,19,21,22,34.
  • Jan 31: Section 3.3: 7,18,20abc,23,30,36,48,50.

    Due Friday, February 9:

  • Feb 2: Finish this worksheet (including what you did in class).
  • Feb 5: Section 3.4:2,5,10,14,20,23,33,36.
  • Feb 7: Section 3.5:5,9,11,18,22,25,29,33,36.

    Due Friday, February 16:

  • Feb 9: Supplementary Exercises: pgs 266-268, problems 1 through 6.
    Conceptual Exercises: pgs 268-269, problems 11,15,17.
  • Feb 12: Section 3.6: 4,6,16,19,21,23.
  • Feb 14: Section 3.7: 2,7,10,11,20.

    Due Friday, February 23 (but not to turn in):

  • Feb 16: Section 3.7: 3,19,25,30.
    Supplementary Exercises: pgs 266-268, problems 8-13.
  • Feb 21: Conceptual Exercises: pgs 268-269, problems 2-6,8,9,21,22.

    Due Friday, March 2:

  • Feb 26: Section 4.1: 8,12,14,17.
    Section 4.2: 8,10,13,21.
  • Feb 28: Section 4.2: 1-4,7,17,24,27,30.
    Section 4.3: 3,19.

    Due Friday, March 9:

  • Mar 2: Section 4.4: 2,3,8,10,13,18(in part (b), only use the matrix from exercise 8),20.
    Section 4.5: 2,6,22(see exercise 21 for the definition of idempotent).
  • Mar 5: Section 4.5: 16,17,18.
    Section 4.7: 5,6,7,18,30.
  • Mar 7: Section 4.8: 3,4,9,10.
    Supplementary Exercises pages 350-351, problems 1-5,13.

    Suggested Review problems for Chapter 4 not already assigned:

  • Supplementary Exercises: pages 350-351, 6-14.
  • Conceptual Exercises: pages 351-352, 1-14.