Math 309, Matrix Algebra
Announcements, Weekly Reading and Homework

NOTE THAT THIS IS AN OLD SYLLABUS: FALL 2014


                                                                    Course Announcements

Please check the course exam schedule so you can plan to avoid conflicts.


FINAL EXAM: NOTE MORNING TIME

Dec 11 2014 TH 8:00 AM - 10:00 AM in  LAB SCIENCES 300

List of terms you should know for the final

A comment about Tribble related questions on the Final Exam

Final exam will be over the material we covered in Chapters 4-6  (including anything from class not in text, from handouts related to material and posted online, etc).  Of course, you will need some of the techniques and definitions from Chapters 1-3 to be able answer questions about Chapters 4-6, but material from Chapters 1-3 will not be "targeted" for its own sake on the final exam.

Remember that the final exam can replace the lower of your Exam 1 and Exam 2 grades (all comparisons of scores are done in %'s). Each time I teach the course this does help a few students recover from a weak performance on an earlier exam.  However, it's also my experience that (on average) final exam scores tend to go down a bit -- simply because the material is harder toward the end and because students are taking a lot of exams in quick succession, without as much exam preparation time for each as they might otherwise give.

Most of the exam exam questions will be machine-graded since the College asks instructors to produce final grades very quickly.  Everything else will be like the other exams: only pencil/pens and eraser allowed.  No notes, no 3x5 cards, etc.


_________________________________________________________________________________________

Always include enough detail in every homework solution so the reader can understand how you got your answer.

The problems assigned for writtren HW each week may be modified up until 5 p.m. Tuesday in the week that they are due.  Please (re)check the assigned problems each week after that time.


Weekly Reading & Events
WebWorK
Assignments
Written Homework
Recommended
(not to hand in)
Supplements &
Solutions
 
Week of 8/25: Lectures 1-3

Be sure to read How to Study Linear Algebra at this link OR in your Study Guide.

Read Note to Students (preceding Chapter 1) in text

Read the Introductory Example (about Leontief) at the start of Chapter 1.

Read Sec. 1.1--1.3, and 1.6;  
WebWorK
WW 1 opens at 12:01 a.m. on Wednesday, 8/27 and
answers due online by 11:59 p.m. on Tuesday, 9/2. See
 WebWork
for more details

Contact me right away if your name does not appear in WebWorK; include your name, WU ID number, and email address and I will add you into WebWorK's list.


You should get started on the handin HW 1 problems soon. They are list below, in the week of Sept. 1, because they aren't due until Friday, September 5.

See Homework
for guidelines about written solutions

 
At the end of each section, try the Practice Problems before starting the homework: for example, on p. 9 for Sec. 1.1

Almost every section in the text contains some "true/false" questions. T
/F questions are an
excellent way to check your understanding.For example, 23-24 in Sec. 1.1

Sec 1.1: 5, 7, 11, 19, 23, 24, 25, 31

Sec 1.2: 7, 13, 15, 19, 21, 22, 25, 31
PDFs for Lecture 1

PDFs for Lecture 2

PDFs for Lecture 3

Online tools that you might like to use to help with row reducing matrices.  None are necessary. Some of them are also useful for more advanced topics later.
But be sure you can do row reductions by hand for small matrices--e.g., for exams.

Row Reducer

Row Echelon Form

Simple Matrix Calculator

Wolfram Alpha

For those who use Matlab


WebWorKWritten Homework Hand InRecommended
(not to hand in)

Week of 9/1:  Lectures 4-5
 
Monday, September 1: Labor Day: no class


Read Sec. 1.4-1.5
WebWork Assignment WW1 due online by 11:59 p.m. Tuesday, 9/2.

WW2 opens 12:01 a.m. Wed. 9/3



HW1 due in class Friday, Sept. 5

Always include enough detail in every homework solution so the reader can understand how you got your answer.

Sec. 1.1: 16, 22, 26, 33, 34

Sec. 1.2: 4,12,16, 26, 28, 30 (refer back to 29 for teminology)

Sec. 1.3: 10, 11, 14, 20, 22

Sec 1.6:  6,12

Solutions for HW1
Sec 1.3: 7, 23, 24, 25,32

Sec 1.4.: 13, 17, 23, 24

Sec 1.5: 23, 24, 29, 31, 36








PDFs for Lecture 4

PDFs for Lecture 5

An additional "economic" example like Ex 1, Section 1.6

   WebWorKHand InRecommended
(not to hand in)
 
Week of 9/8
Lectures 6-8

Read anything you skipped in Sec 1.6

Read Sec 1.7-1.8
WebWork Assignment WW2 due online by 11:59 p.m. Tuesday, 9/9.

WW3 opens 12:01 a.m. Wed. 9/10
HW 2 due in class
Friday, Sept.12

Sec. 1,4: 8,10,18, 22, 30, 36

Sec. 1.5: 10,16, 20, 30, 34, 40

Sec. 1.7: 8

More problems for thie HW may be added up until 5 p.m. on Tuesday, 9/9

Solutions for HW2
Sec. 1.7:  1,5,12, 21, 22, 29, 30, 33-35, 37An additional "economics" example similar to Ex 1, Section 1.6


PDFs for Lecture 6

PDFs for Lecture 7

PDFs for Lecture 8

WebWorKHand InRecommended
(not to hand in)

Week of 9/15
Lectures 9-11

Read Sec
1.8 - 1.10
(in 1.10 it's ok to skip the example on electirical networks. But those interested in physics and engineering should certainly read it.
WebWork Assignment WW3 due online by 11:59 p.m. Tuesday, 9/16

WW4 opens 12:01 a.m. Wed. 9/17
HW 3 due in class
Friday, Sept. 19

Sec. 1.7: 18, 24, 26, 32, 36, 38 (more computational practice with Sec. 1.7 was in WW 3)

Sec. 1.8: 14,18,32

Sec 1.9: 4,6,8,14,16


Solutions for HW3
Sec.1.8: 13,15,19,21, 22,33

Sec.1.9: 13,23,34
PDFs for Lecture 9

Lecture 10, Rotation Cartoon--is the matrix correct?

Lecture 10: A Linear Difference Equation

PDFs for Lecture 10 (onto and 1-1 transformations)

PDFs for Lecture 11
 WebWorKHand InRecommended
(not to hand in)
 
Week of 9/22
Lectures 12-14

Read Sections 2.1-2.3 
WebWork Assignment WW4 due online by 11:59 p.m. Tuesday, 9/23

WW5 opens 12:01 a.m. Wed. 9/24
HW 4 due in class
Friday, Sept. 26

Always include enough detail in every homework solution so the reader can understand how you got your answer.

Supplementary Exercises on p. 90: 22

Sec. 2.1: 6, 10, 20, 24, 26,34

Sec 2.2: 2, 8, 14, 16, 18, 23,38  (Answer these questions based on the material covered in 2.1-2.2; don't refer ahead to the Invertible Matrix Theorem in Sec. 2.3

Solutions for HW4

Sec. 2.1: 15, 18

Sec 2.2: 7, 9,10,13
PDFs for Lecture 12

PDFs for Lecture 13

EROs and Multiplication by Elementary Matrices

PDFs for Lecture 14

Invertible Matrix Theorem


  WebWorKHand InRecommended
(not to hand in)
 
Week of 9/29
Lectures 15-17

Read Sections  2.4, 2.5 (you can skip, if youl like, the last part about factorizations in electircal engineering--but engineers might enjoy that), 2.6
WW 5 is due Tuesday, 9/30, by 11:59 p.m.

There will be no WW6 due next Tuesday because of the exam next Monday (Oct 6)
HW 5 due in class on Friday,  Oct, 3

Sec 2.3: 11, 12, 20, 22, 27, 33

Sec 2,4:  4, 8 10
(in 8, assume matrices A and X are square!),

(in 10, find P,Q,R means "in terms of A,B,D")

Solutions for HW5
Sec. 2.3: 8,16, 26, 24,39

Sec, 2.4:  5,7
PDFs for Lecture 15

Notes on LU Decomposition
(handed out in class, plus a couple of more pages here for those who are interested)

PDFs for Lecture 16

Notes on Leontief Open Economy Production Model

First two pages of Leontief's Scientific American Article on "Imput-Output" Analysis

PDFs for Lecture 17
 WebWorKHand InRecommended
(not to hand in)

Week of 10/6
Lectures 18-20

EXAM 1 MONDAY EVENING, 10/6 7-9 p.m.
ROOM = LAB SCIENCES 300
Probably 2,12 from Sec. 2.5, HW6 are worth doing just to prepare the very basics of LU decomposition

Some terms to know for Exam 1

Old Exam for practice

Solutions for Old Exam


Solutions for Exam 1

Read Sections 3.1-3.3
(in 3.3, it's sufficient to read the part "Determinants as Area or Volume", pp. 180-184)

WW6 will open Wednesday, 10/8 at 12:01 a.m. and be due the following Tuesday, 10/14, by 11:59 p.m.HW 6 due in class on Friday,  Oct, 10 (a bit shorter than usual)


Sec. 2.5: 2,12, 24, 26

Sec. 3.1:  12, 18

Sec. 3.2:  10, 26


Solutions for HW6





Sec. 2.5: 3,7, 17, 21
(the comments about in #17 abow how MATLAB works are irrelevant to solving the problem)

Sec. 3.1: 39, 40

PDFs for Lecture 18

PDFs for Lecture 19

PDFs for Lecture 20
  xWebWorKHand InRecommended
(not to hand in)
 
Week of 10/13
Lectures 21-22


Read Sections 4.1-4.2

FRIDAY, OCT 17
Fall Break
No Class! 
WW6 due  Tuesday, 10/14, by 11:59 p.m.

A Linearity Property of Determinants
HW 7 due in class Friday, October 24
(because of fall break!)

The problems in HW 7 will cover material for most of two weeks, so HW 7, in total, is longer.  Don't put it all of until near the due date!  

Sec. 3.2: 34, 35, 36

Sec. 3.3:  22, 23, 27, 32

Sec 4.1: 8, 12, 17, 28

Sec. 4.2: 6, 10, 14, 22, 24, 27, 28, 32, 34
Recommended
(not to hand in)

Sec 3.2: 27, 28

Sec. 3.3: 30 (note: the formula should include the absolute value bars around the determinant.)

Sec. 4.1: 23, 24, 32

Sec. 4.2:  18, 20
PDFs for Lecture 21

PDFs for Lecture 22
 WebWorKHand InRecommended
(not to hand in)
 
Week of 10/20
Lectures 23-25

This might be a good time to remind you of the resources for study from the author
(see reviews sheets and practice exams link) as well as the general advice at
How to Study Linear Algebra

Read Sections 4.3 - 4.4
WW7 will open (one day early) at 12:01 a.m. on Tuesday, 10/21.  Answers are due online by 11:59 p.m. on Tuesday, 10/28.
NOTE: some of the problems below were already posted last week, but not yet collected. There may be additional problems too until 5pm Tuesday.

HW 7 due in class Friday, October 24

The problems in HW 7 will cover material for most of two weeks, so HW 7, in total, is longer.  Don't put it all of until near the due date!

Sec. 3.2: 34, 35. 36

Sec. 3.3:  22, 23, 27, 32

Sec 4.1: 8, 12, 17, 28

Sec. 4.2: 6, 10, 14, 22, 24, 27, 28, 32, 34

Sec 4.3: 20, 32

Solutions for HW7
Sec. 4.3: 3, 7, 19, 21, 22, 31

PDFs for Lecture 23

PDFs for Lecture 24

PDFs for Lecture 25

Notes: Rotating Coordinate Axes
  WebWorKHand InRecommended
(not to hand in)
  
Week of 10/27
Lectures 26-28

Read notes on
Introduction to Diagonalization (distributed Monday in class)

Read Sections 4.5-4.6
WW 7 answers due online by 11:59 p.m. on Tuesday, 10/28.HW 8 due in class, Friday, October 31.

Section 4.3: 30, 34

Sec. 4.4: 4, 6, 8,12, 22, 28, 32

In addition to the textbook problems below, do the problems about rotation of axes on this sheet.

        AND

the problems about diagonalization on this sheet.

Solutions for HW8
Sec. 4.4: 15,16,17,19Introduction to Diagonalization

PDFs for Lecture 26

PDFs for Lecture 27

Extra Example on Diagonalization

PDFs for Lecture 28
 WebWorKHand InRecommended
(not to hand in)
 
Week of  11/3
Lectures 29-31

Read Sec. 5.1-5.3

EXAM 2 WEDNESDAY
7 P.M.

Some terms to know for Exam 2

Old Exam for practice

Solutions for Old Exam

Exam 2 Solutions
No WW due this week because of Exam 2

WW8 opened Thursday, 11/6 at 4:55 pm. Answers due online by Tuesday, 11/11 at 11:59 p.m.
No HW collected this week.  

HW 9 will be due in class on Friday, 11/14.

Sec. 4.5: 6,14

Sec. 4.6: 20, 24, 26

Sec: 5.1: 16, 24, 27, 32, 35

Sec 5.2: 10, 16, 18

.
Sec. 4.5: 9, 19, 20 , 29, 30

Sec. 4.6: 3, 9, 17, 18

Sec 5.1:  21, 22, 25

Sec 5.2: 21, 22

Sec. 5.3:  21, 22
NO PDFs for Lecture 29

PDFs for Lecture 30

Another Diagonalization Example

PDFs for Lecture 31

Supplementary Proofs about Diagonalization
  WebWorKHand InRecommended
(not to hand in)
 
Week of 11/10
Lectures 32-34

Red Sec 5.4; you can skip 5.5 unless you want to read it;

In Sec. 5.6. You can skip the material on "Change of Variables" and "Complex Eigenvalues" on pp. 306-307 but resume reading at bottom of p. 307 (Spotted Owls) to the end of Sec. 5.6,
WW8 answers due online by Tuesday, 11/11 at 11:59 p.m

WW9 opens at 12:01 a.m. on Wednesday 11/12
HW 9 will be due in class on Friday, 11/14.

Sec. 4.5: 6,14

Sec. 4.6: 20, 24, 26

Sec: 5.1: 16, 24, 27, 32, 35

Sec 5.2: 10, 16, 18

Sec 5.3:  6, 16, 18, 24, 26

Solutions for HW9
Sec. 4.5: 9, 19, 20 , 29, 30

Sec. 4.6: 3, 9, 17, 18

Sec 5.1:  21, 22, 25

Sec 5.2: 21, 22

Sec. 5.3: 21, 22
PDFs for Lecture 32

PDFs for Lecture 33

More Spotted Owl Information

Owls and Rats

PDFs for Lecture 34
 WebWorKHand InRecommended
(not to hand in)
 
Week of 11/17
Lectures 35-37

Read Secs. 6.1-6.3, start 6.4
WW9 answers due online by Tuesday, 11/18, at 11:59 p.m.

WW10 opens at 12:01 a.m. on Wednesday, 11/19.

Because of Thanksgiving Break next week, WW10 answers won't be due until
THURSDAY, 12/4 at 11:59 p.m. This is just before the last day of class. WW10 is a little longer and contains some material that might not be covered before Thanksgiving Break.  I might add a few more problems to WW10 after it opens, but I will notify the class by email if I do that.
HW 10 will be due in class on Friday, 11/21.

Sec 5.4: 4, 8, 10, 16, 18, 20

Sec. 6.1: 24, 26, 31

Sec 6.2: 8,10,14,16, 28



Solutions for HW10
Sec 5.4: 13, 23

Sec. 6.1: 19, 20

Sec 6.2: 23, 24, 27


PDFs for Lecture 35

PDFs for Lecture 36

About 2 x 2 Orthogonal Matrices

PDFs for Lecture 37

Notes on the Gram-Schmidt Process

 WebWorKHand InRecommended
(not to hand in)
 
Week of 11/24
Lectures 38

Finish Reading Section 6.4

Read Sec. 6.5, up to Theorem 14,

You can skip the short subsection at the end of 6.4 about the QR Factorization if you like.  There are some optional notes posted in the right column here.

Thanksgiving Break
11/26-30
No Class Wednesday, Friday
WW 10 opened on Wednesday, 11/19. Answers will not be due until 11:59 p.m. on THURSDAY, 12/4.HW 11 problems are listed below in the row for nwext week.  They are due on Friday, December 5 (last day of class) The QR Factorization (optional notes)


PDFs for Lecture 38
 WebWorKHand InRecommended
(not to hand in)
 
Week of  12/1
Lectures 39-41

We covered
Sec. 6.5, up to Theorem 14 last Monday.  We will quickly review that but be prepared to move on quickly from there.

Read the material in 6.6 on application of least squares to linear models
WW 10 (the last) opened early on Wednesday, 11/19.  Answers are due online by 11:59 p.m. on THURSDAY, 12/4.HW 11:  Due in class on Friday, 12/5 (last day of class)

Sec 6.3:  6,14

Sec. 6.4:  6,12, 20

Sec, 6.5:  4,12,14, 24, 25

Sec. 6.6:  4, 7, 8, 10  (in each of 7,8,10, do part a) only)

Solutions for HW11




Sec. 6.3:  19

Sec. 6.4: 17

Sec. 6.5: 17

Sec. 6.6: 3,5
PDFs for Lecture 39

PDFs for Lecture 40

PDFs for Lecture 41

Notes on Inner Product Spaces

Extra Reading (posted after the course ended): orthogonal diagonalization and the spectral theorem