Math 33A: Linear Algebra and Applications.
 

Instructor: Itay Neeman

Office hours: MWF 10am to 11am in MS 6334. 
 

Homework assignments.

(Exercise numbers refer to the 4th edition of the textbook, Linear algebra with applications, by Otto Bretscher.)

(Homework assignment 10 is posted below the information on the final exam.)

The final exam scores are now available through the my.ucla gradebook. If you have any questions about your exam please come and see me during the winter quarter. My winter quarter office hours will be posted on my webpage in early January.

Happy holidays!!!!


Our final exam is on Monday, December 7th, 3pm to 6pm, in our usual classroom, Moore 100. The exam will have 22 items, each worth 5 points. (In this sense it is similar to two midterms, but some of the items on the final exam may require more time than items on the midterms.) The final exam is cumulative, covering material from the entire quarter. There may be a small emphasis on later material, since it brings together concepts from throughout the quarter.

The best way to study for the exam is to review the material and then practice as many problems as you can. You can go over old homework problems, and try to do them fresh, without looking at your earlier work. You can do the same with the old exams (here is practice midterm 1, midterm 1, practice midterm 2, midterm 2). You can do odd exercises in the book, close to even exercises in old assignments below, then check your answers against the answer key at the end of the book. And you can do many more problems in the book that were not assigned, particularly in the later sections. (Note that we did not cover Chapter 4. Any problem that talks about spaces other than subspaces of Rn involves concepts from Chapter 4, and you should not attempt it.) The more problems you practice, the better.

I will have extra office hours during week 10 to help you if you run into difficulties. My usual office hours are MWF 10am to 11am, and the added hours are Wednesday 4pm to 6pm, and Friday 12:10pm to 1pm.

HW assignment #10, due Monday 7/December during the final exam (make sure to
write your discussion section on the homework):
    Section 7.2 Exercises 22, 38;
    Section 7.3 Exercise 20;
    Section 7.4 Exercise 36;
    Section 7.5 Exercises 20, 38(a,b);
    Section 8.1 Exercises 4, 8, 24, 42;
    Section 8.2 Exercises 16, 64, 66; and
    Section 8.3 Exercises 10, 12, 14.

Here are the solutions for the second midterm.

HW assignment #9, due Wednesday 25/November during class (make sure to
write your discussion section on the homework):
    Section 7.1 Exercises 38, 54;
    Section 7.2 Exercise 10;
    Section 7.3 Exercises 8, 12, 24, 44;
    Section 7.4 Exercises 16, 32; and
    Section 7.5 Exercises 2, 6, 22.

HW assignment #8, due Friday 20/November during class (make sure to
write your discussion section on the homework):
    Section 6.1 Exercise 60;
    Section 6.2 Exercises 4, 14, 30, 32, 38, 40, 42, 48;
    Section 6.3 Exercises 2, 4, 30, 34;
    True/False Exercises for Chapter 6 (page 293) 18; and
    Section 7.1 Exercises 4, 8.

HW assignment #7, due Friday 13/November during class (make sure to
write your discussion section on the homework):
    Section 5.4 Exercises 30, 32, 34, 36, 38; and
    Section 6.1 Exercises 8, 26, 30, 34, 42, 48, 56.
In Section 6.1 you may use any method you wish to compute the determinant.

Midterm statistics: Each item on the midterm was worth 5 points, and we count 50 points (fully correct answers to 10 of the 12 items) as full score. The correspondence with letter grades is:
  A 40 points and higher
  B 30 points and higher
  C 20 points and higher
The median score was 31 points, and the highest score obtained was 57 points. If you got the score you wanted, congratulations! If not, try to make up for it on the final....

HW assignment #6, due Friday 6/November during class (make sure to
write your discussion section on the homework):
    Section 5.1 Exercises 42, 44, 46;
    Section 5.2 Exercises 4, 18, 32, 38;
    Section 5.3 Exercises 8, 10, 22, 30, 32; and
    Section 5.4 Exercises 2, 10, 20, 22.

HW assignment #5, due Friday 30/October during class (make sure to
write your discussion section on the homework):
    Section 3.3 Exercises 28, 36, 38, 80;
    Section 3.4 Exercises 6, 8, 18, 24, 38, 50;
    True/False Exercises for Chapter 3 (page 151): 22; and
    Section 5.1 Exercises 6, 10, 20, 28, 36.

HW assignment #4, due Friday 23/October during class (make sure to
write your discussion section on the homework):
    Section 2.3 Exercise: 42;
    Section 2.4 Exercise: 42;
    True/False Exercises for Chapter 2 (page 99): 24, 28;
    Section 3.1 Exercises 30, 32;
    Section 3.2 Exercises 8, 14, 16, 28, 34, 48; and
    Section 3.3 Exercises 12, 16, 22, 24.

Midterm statistics: Each item on the midterm was worth 5 points, and we count 50 points (fully correct answers to 10 of the 11 items) as a full score. The correspondence with letter grades is:
  A   41 points and higher
  B   34 to 40 points
  C   26 to 33 points.
The median score was 34 points, and the highest score obtained was 51 points.
If you got the grade you wanted, congratulations!!! (I know it wasn't easy.) If not, you can always make up for it on the next midterm...
Solutions for the first midterm are available here.

HW assignment #3, due Friday 16/October during class (make sure to
write your discussion section on the homework):
    Section 2.3 Exercises: 10, 46;
    Section 2.4 Exercises: 8, 20, 32, 62, 104(a)
      (in 62, do only the parts on T, T inverse, and the geometric interpretations of T and T inverse);
    Section 3.1 Exercises: 8, 14, 20, 34.

HW assignment #2 due Friday 9/October during class (make sure to
write your discussion section on the homework):
    Section 2.1 Exercises: 4, 6, 8, 10, 14, 24, 26, 28, 30, 38;
    Section 2.2 Exercises: 6, 8, 34, 38; and
    Section 2.3 Exercises: 2, 4, 30.

HW assignment #1 due Friday 2/October during class (make sure to
write your discussion section on the homework):
    Section 1.1 Exercises: 6, 12, 24, 40, 42, 44;
    Section 1.2 Exercises: 4, 8, 18, 36, 42;
    Section 1.3 Exercises: 4, 6, 12, 18, 20, 28, 49, 66; and
    Chapter 1 Exercises (page 38): 14