**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 R^{n} 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