Math 309, Matrix Algebra
Announcements, Weekly Reading and Homework
Fall 2012

                                                               Course Announcements

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

FINAL EXAM
Tuesday, December 18
3:30 - 5:30 p.m.
in Lab Sciences 300
(room where the previous 309 exams were held this semester)

Office hours prior to final
                                                            Monday, 12/10:  as usual,  3-4:30
                                                            Tuesday, 12/11:  as usual, 3-4:30
                                                            Wednesday, 12/12:  3-4:30

                                                            Thursday, 12/13:  2:30-4:30
                                                            Friday, 12/14:  2:30 - 4:30

                                                            Monday, 12/17:  2:30-4:30
       
Old final exam for practice

_________________________________________________________________________________________________

Problems assigned are from the current edition (4th) of the textbook; the exercises are generally not the same as in earlier editions.  I
f you are using an earlier edition, be sure to get the correct problems out of the current edition of the textbook.


Written HW Assignments may be modified up until 5 p.m. Tuesday in the week that they are due. 

Weekly Reading & Events
WebWorK
Assignments
Written Homework
Recommended
(not to hand in)
Supplements &
Solutions
 
Week of  August 26

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 1.1-1.2 and 1.6; start on 1.3 (this will put you ju
st a bit ahead of the lectures)
WebWorK
WW 1 opens on the first day of class and
is due online by 11:59 p.m. on Tuesday, 9/4.

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 o
Good luck in your search.nto WebWork's list
There are hand-in HW problems you can get started on now.
They are listed below as part of HW 1 (not due until Fri., 9/7)

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. Thes
Sec. 5.1: 16, 24, 27, 32, 35

Sec. 5.2: 10,16, 18

Sec 5.3: 6, 16, 18, 24, 26

Sec 5.4: 4,8,10, 16, 18, 20
e are an excellent way to check your understandin231168g.
For example, 23-24 in Sec. 1.1

Sec 1.1: 5, 7, 19, 23, 24, 25, 31
PDF for Lecture 1

PDF for Lecture 2

PDF for Lecture 2
WebWorKWritten Homework Hand InRecommended
(not to hand in)

Week of September 2
 
Monday, September 3: Labor Day: no class

HW 2: Due in class Friday, September 14


Sec. 1.4
Read Sec. 1.5
Read Sec. 1.6

Start reading Sec 1.7
(this will put you just a bit ahead of the lectures)
WebWork Assignment WW1 due online by 11:59 p.m. Tuesday, 9/4.

WW2 opens 12:01 a.m. Wed. 9/ 5
HW1 due in class Friday, Sept. 7

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 1.6:  6,12

Solutions for HW1










Sec 1.2: 7, 13, 19, 21, 22, 25, 31
PDF for Lecture 3

Some online tools that might be helpful for "small matrix" HW type problems (find others via Google, or pick the one you like):

Row Reducer

Row Echelon Form

Online Row Reducer

Be sure you can do row reductions by hand for small matrices--e.g., for exams.


_________________

PDF for Lecture 4

Notes on a closed exchange economy: Section 1.6; and here's a link to an author-provided example on the same material. Read the introductory example about Leontief at the start of Chapter 1 if you haven't done so already!  Leontief's original article is in Scientific American, April 1965.
WebWorKHand InRecommended
(not to hand in)

Week of September 9

Finish reading Sections 1.5, 1.6 if you haven't already.

Read Section 1.7 and 1.8

Note that Wednesday 9/12 is the last date to add or drop the course.
WebWork Assignment WW2 due online by 11:59 p.m. Tuesday, 9/18



HW 2 due in class Friday, Sept. 14

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

Sec 1.3: 10,11,14, 20, 22

Sec 1.4: 8,10,18, 22, 30,36

Sec. 1.5:  10,16, 20, 30, 34, 40

Solutions for HW2













Sec. 1.3: 7,23,24, 25,32

Sec. 1.4:  
13, 17, 23, 24

Sec. 1.5:  
23, 24, 29, 31. 36
PDF for Lecture 5

PDF for Lecture 6

PDF for Lecture 7


WebWorKHand InRecommended
(not to hand in)

Week of September 16

Read Sections 1.8 and 1.9.

In Section 1.10, read the examples about the "Weight Loss Diet" and "Difference Equations."

In 1.10, you can skip the example on Electrical Networks -- although engineers and physicists might like to read it.
Assignment WW2 (postponed) now due online by 11:59 p.m. Tuesday, 9/18

WW3 now open (a bit early); but still not due until next Tuesday, as usual
HW 3 due in class Friday, Sept. 21

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

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

Sec. 1.8: 14,18,32

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

Solutions for HW3












Sec. 1.7:
21,22,29, 30, 33-35,37






Sec. 1.8: 13,15,19,21 22,32

Sec 1.9:  13, 23, 34
PDF for Lecture 8

PDF for Lecture 9

PDF for Lecture 10
(chart tying together equivalents to "onto" and "1-1" for linear mappings)

Example: A Linear Difference Equation
WebWorKHand InRecommended
(not to hand in)
Week of September 23

Read Introductory Example for Chapter 2  (Aircraft Design)

Read Sections
2.1 - 2.2

Start reading Section
2.3
WW3 due online by 11:59 p.m. Tuesday, 9/25

WW4 opens at 12:01 a.m. on Wednesday, 9/26
HW 4 due in class Friday, Sept. 28

Sec. 1.9: 26, 27

Sec. 1.10: 9

Supplementary Exercises on
p. 90:  22

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

Sec 2.2: 2, 8, 14, 16, 18

Solutions for HW4








Sec. 2.1: 15, 16


Sec. 2.2:  7,9,10,13
PDF for Lecture 11

PDF for Lecture 12

PDF for Lecture 13

Extra material about EROs and elementary matrices

WebWorKHand InRecommended
(not to hand in)
Week of September 30

Read Section 2.3

Read Section 2.4

Read Section 2.5
(you can skip the example from electrical engineering unless it
interests you)
WW 4 due on Tuesday, 10/2 at 11:59 p.m.

WW5 opens on Wednesday, Oct 3, at 12:01 a.m.

Because of Exam 1 next week on Wednesday 10/10, WW5 will not be due until Tuesday, October 16. But, since it covers 2 weeks, WW5 will be longer: probably around 30 questions
HW 5 due in class on Friday, October 5

Sec. 2.2:  20, 23, 38   (answer these without jumping ahead in text: don't refer to the Invertible Matrix Theorem in Sec. 2.3)

Sec. 2.3: 8, 16,
20, 26, 34, 39

Sec. 2.4: 4, 8 (assume A and X are square), 10 (find P,Q,R means "in terms of A,B, and D")

Solutions for HW5












Sec, 2.3: 11, 12, 22, 33


Sec 2.4: 5, 7
PDF for Lecture 14

Handout on the Invertible Matrix Theorem

PDF for Lecture 15

Supplementary material about LU Decompositions (distributed in class Friday)

PDF for Lecture 16

Discussion of Leontieff Open Economy Production Model (from class Friday)
WebWorKHand InRecommended
(not to hand in)
Week of October 7

Read Sections 2.6 and 3.1.

We skip 2.7 - 2.9.
(The material in 2.8-2.9 is covered later in Chapter 4.)
_________________

Wednesday, Oct.10, 7-9 p.m: EXAM 1 covering all material up through 2.5

Some information about Exam 1

Sample: Exam 1 from fall 2011 (see comments in preceding link!)

Exam 1 Solutions

No WebWork due this weekHW 6 due in class on Friday, October 12 -- a little shorter because of the test on Wednesday.But everyone should have done some of the Sec. 2.5 problems for practice before the exam.

Sec. 2.5:  2, 12 ,17, 24, 26  
The occasional MATLAB comments are irrelevant to your solutions here. Only 2,12,17 are material that could be on Exam 1.

Sec. 2.6:  6

Sec. 3.1: 12, 18

Solutions for HW6











Sec. 2.5: 3, 7, 21









Sec. 2.6:  5

Sec 3.1:  39, 40
PDF for Lecture 17

PDF for Lecture 18

PDF for Lecture 19
WebWorKHand InRecommended
(not to hand in)
Week of October 14
Read Sections
 3.2, 3.3, 4.1, 4.2

In Sec 3.3, you can skip Cramer's Rule and material on pp. 178-179. Resume reading at "Determinants as Area or Volume."

Friday, October 19: NO CLASS (FALL B
REAK)
WW 5 is due on Tueday, 10/16 at 11:59 pm.

WW6 will open at 12:01 am on Wednesday, 10/17
No written HW due this week because of fall break.

This is
the start of the HW 7 due in class on Friday, Oct 26.

Sec 3.2: 10,  26, 34, 35, 36, 40

Sec, 3.3:  18, 22, 23, 27, 32










Sec 3.2:  27, 28, 30


Sec. 3.3:  30
PDF for Lecture 20

PDF for Lecture 21
WebWorKHand InRecommended
(not to hand in)
Week of October 21

Finish reading 4.2
Read  4.3-4.4
WW6 due on Tuesday, 10/23, by 11:59 pm.

WW7 will open at 12:01 am on Wednesday, 10/24
HW 7 due in class on Friday, Oct 26.

(also includes problems above listed during week of October 14)

Sec. 4.1:  8, 12, 17, 28,

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

Sec. 4.3: 6,8

Solutions for
HW7










Sec. 4.1: 23, 24,32


Sec. 4.2: 18, 20




Sec. 4.3:  3,7
PDF for Lecture 22

PDF for Lecture 23

PDF for Lecture 24

Supplement on rotation of axes
WebWorKHand InRecommended
(not to hand in)
Week of October 28

Read the supplementary notes on rotation of axes (distributed/linked last Friday)

Read the supplementary notes diagonalization (distributed/linked on Monday)

Read Sec. 4.5-4.6




WW7 due on Tuesday, 10/30, by 11:59 pm.

WW8 will open at 12:01 am on Wednesday, 10/31; not due until 11:59 pm Tuesday, 11/13, because of exam next Wednesday. But most of the problems are on material that could be on the exam.
HW 8 due in class on Friday, Nov. 2.

Sec. 4.3: 16, 20, 32

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

Also hand in solutions for


1. Extra problems on rotation of axes

2. Extra problems about diagonalization

Solutions for
HW8




Sec. 4.3: 19, 21, 22, 31

Sec. 4.4: 15, 16, 17,19
PDF for Lecture 25
is included within the supplementary notes on introduction to diagonalization

Lecture 26: Additional Diagonalization Example

Practice with dimensions

PDF for Lecture 27
WebWorKHand InRecommended
(not to hand in)
Week of November 4

Skip Sections 4.7-4.8
Read Section 4.9 (Markov Chains)

Read Sections 5.1, 5.2

Old Exam 2 from Fall 2011
(remember,last year  this was an in class 1 hour exam)


Wednesday, Nov. 7, 7-9 p.m.
EXAM 2

Exam 2 Solutions

No WebWorK due this weekHW 9 due in class on Friday, Nov. 9
(a little shorter because of the test on Wednesday.But everyone should have done some of the 4.5-4.6 problems for practice before the exam.

Sec. 4.5:  6, 14, 16,  22

Sec. 4.6: 4, 20, 22, 24

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

Sec. 4.6: 9, 17, 18

PDF for Lecture 28

PDF for Lecture 29

PDF for Lecture 30
WebWorKHand InRecommended
(not to hand in)
Week of November 11

Read Sec. 5.3, 5.4.  Be sure also that you've read the introductory section (about spotted owls) for Chapter 5.

Friday, November 16: LAST DATE TO WITHDRAW FROM COURSE

Skip Sec 5.5

Read 5.6: you can skip the section on change of variables and complex eigenvalues, but read final part about survival of the spotted owls, and also the spotted owl handout)

Start reading Sec. 6.1
WW 8 due on Tuesday, 11/13, by 11:59 p.m.

WW9 opens on Wednesday, 11/14 at 12:01 a.m.

2 comments on WW9 problems
HW 10 due in class on Friday, Nov. 16

Sec. 5.1: 16, 24, 27, 32, 35

Sec. 5.2: 10,16, 18

Sec 5.3: 6, 16, 18, 24, 26

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

Solutions for
HW10





Sec. 5.1:  21, 22, 25


Sec. 5.2: 21, 22


Sec 5.3:  21, 22


Sec 5.4:  13, 23




PDF for Lecture 32

Handout on Spotted Owls (Wednesday)


PDF for Lecture 33
WebWorKHand InRecommended
(not to hand in)
Week of November 18

Wednesday/Friday
November 21, 23: NO CLASS (THANKSGIVING)
WebWork 10 is will open on Monday, 11/26, at 12:01 am.
WebWorKHand InRecommended
(not to hand in)
Week of November 25

Read Sections 6.1 - 6.4

On Monday, 11/19, we covered about half of Section 6.2.  Please review and be ready to pick up there in the lecture on Monday, 11/26.
WW 10 opens (a bit early) this week on Monday, 11/26, at 12:01 am and will be due by 11:59 p.m. on Tuesday, Dec. 4.HW 11 due in class on Friday, November 30.

Sec. 6.1:  24,
26 ,31

Sec. 6.2: 8,10, 14, 26, 28

Sec 6.3: 6,12,14

Solutions for
HW11



Sec 6.1:  19, 20


Sec 6.2:  23, 24, 27


Sec 6.3:  19
PDF for Lecture 35

Extra Notes for 2x2 Orthogonal Matrices

For Lecture 36:

Images for Lecture 36

Examples related to Orthogonal Decompostition

PDF for Lecture 37
WebWorKHand InRecommended
(not to hand in)
Week of December  2

Finish reading Section 6.4 (you 're not responsible for the subsection on QR factorization)

Read Sec. 6.5 (you can skip Theorem 15.)

Read Sec. 6.6

Friday, December 7
Last day of class
WW 10 is due by 11:59 pm on Tuesday, Dec. 4.

There are no further required WW assignments.
However there will be a a WW practice problem set on the material in Sec. 6.5-6 in case you want it for practice.
HW 12 due in class on Friday, Dec. 7


Sec. 6.4:  6, 12, 20

Sec. 6.5: 4, 12, 14, 24, 25

Sec. 6.6: 4, 6,
8 (part a only), 10 (part a only)

Solutions for
HW12




Sec. 6.4:  17


Sec. 6.5:  17


Sec. 6.6 3, 5
Supplementary notes about inner product spaces

PDF for Lecture 38: Least Squares Examples

Handout for Lecture 39: least squares and simple linear regression

PDF Lecture 41
FINAL EXAM
Tuesday, December 18
3:30 - 5:30 p.m.
in Lab Sciences 300
(room where the previous 309 exams were held this semester)

Old final exam for practice