MATH 3330 HOMEWORK (Fall 2020)

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Book = Linear Algebra with Applications, 5th Ed, O. Bretscher, Prentice Hall.

Aug 26

Read course syllabus carefully. Make a note of the test dates in your calendar. Review course website and repeat frequently during the semester. Review the Canvas course website.
Read https://vancliff.utasites.cloud/T/study.pdf and read https://www.jeffreybennett.com/pdf/How_to_Succeed_general.pdf for ideas on how to study most effectively.

Read lecture notes (meaning the notes you should have taken during class) & Sec 1.1 &
watch (or possibly rewatch)
the video for Aug 26 on Canvas Conference page and
watch the video “Part 2 of Aug 26 Lecture” in Canvas Modules under “After-Class Videos”.
Do Sec 1.1: 2, 11-13, 16, 17. Try some practice quizzes.

Aug 31

Read lecture notes & do Sec 1.1: 19, 22 (note: Emile is a male name and Gertrude is a female name), 26, 31, 33,38, 45, 46, 50.
Also watch (or possibly rewatch)
the video for Aug 31 on Canvas Conference page and
watch the video “Part 2 of Aug 31
Lecture” in Canvas Modules under “After-Class Videos”.
Read lecture notes & Sec 1.2 and do Sec 1.2: 1-4, 6, 8, 18, 21, 26, 27, 31, 43, 47, 48, 63.
Try some practice quizzes.

Sep 02
The following results are restatements of some of the results in Sec 1.3 and will be assumed in all future lectures.

Theorem L1

If we have m linear equations in n variables, then the coefficient matrix A has m rows and n columns (size m by n), and
(a) rank(A) ≤ m and rank(A) ≤ n, and the number of free variables = (total number of variables) – rank(A) = n – rank(A);
(b) if rank(A) = m, then the system is consistent;
(c) if rank(A) = n, then the system has 0 solutions or a unique solution;
(d) if rank(A) < n, then the system has either 0 solutions or infinitely many.

Theorem L2

A linear system with fewer equations than variables has either 0 solutions or infinitely many.

Theorem L3

Suppose m = n in Theorem L1. If rank(A) < n, then there is either 0 solutions or infinitely many. However, if rank(A) = n, then the system has a unique solution.

Theorem L4

If m = n in Theorem L1, then the linear system has a unique solution if and only if rank(A) = n.

Read lecture notes & Sec 1.3 & also watch (or possibly rewatch) the video for Sept 2 on Canvas Conference page.
Do
Sec 1.3: 1-7, 10-12. Try some practice quizzes.

By this time, you have seen quite a few theorems. It is best NOT to memorize the theorems, but to do enough of the homework that the results of the theorems become known to you, though perhaps with different wording or using pictures.

Sep 07

UTA Holiday (Labor Day): no lecture today.

Sep 09

Read lecture notes & Sec 1.3 & also watch (or possibly rewatch) the video for Sept 9 on Canvas Conference page and watch the video “Part 2 of Sept 9 Lecture” in Canvas Modules under “After-Class Videos”.
Do Sec 1.3: 9, 13-20, 25, 57-59.
Do pages 38-40 (true/false questions): 1-11, 13, 14, 17, 18, 29, 34, 39, 43.
Try some practice quizzes; I'll stop writing this, but it goes without saying on all the assignments, through end of semester.

Sep 14

Read lecture notes & also watch (or possibly rewatch) the video for Sept 14 on Canvas Conference page (in particular, recall that linear transformation was defined differently in lecture than in Section 2.1 of the book; more closely aligned with Def 4.2.1 on page 178) &
do Sec 2.1: 1-6.

The Practice Test will be 1 week from today; it will cover Secs 1.1-1.3. Information sheets for the practice test are posted in Canvas (under assignments). In addition to information for the test, one of the information sheets contains some questions to help you study for the practice test. The answers to the multiple-choice questions on that information sheet will be posted in Canvas on Sept 20; so work through the questions carefully and check your answers on Sept 20. If you want additional practice with immediate feedback, remember that there are quizzes on external websites linked on the course website. Also, remember that you will be using Honorlock for the test. One of the information sheets addresses how to prepare for a test that is proctored using Honorlock.

Sep 16

Read lecture notes & Sec 2.1 & also watch (or possibly rewatch) the video for Sept 16 on Canvas Conference page (in particular, recall that linear transformation was defined differently in lecture; more closely aligned with Def 4.2.1 on page 178) &
do Sec 2.1: 35, 8-12, 14, 15, 57.
Watch the videos in Canvas Modules that teach Section 2.2 (the file used in the videos can be found
here )
and read
pgs 58-60 & learn table on pg 70 & do Sec 2.2: 1, 2, 8, 9, 11,, 26(a), 4, 30, 10, 27.

Practice Test next week; see Sept 14 above for details.

Sep 21

The Practice Test is due tomorrow (Sept 22) and is available starting today; see Sept 14 above for details.

Read lecture notes & pgs 75-81 & also watch (or possibly rewatch) the video for Sept 21 on Canvas Conference page & do
Sec 2.3: 1-5, 7, 10, 11, 35, 43, 44,, 20, 22, 26, 57, 58, 61.

Solutions to the Practice Test will be available on Canvas Sept 22 (use password ``math3330'' to open the pdf file).
Look over the Practice Test and the solutions to help you study for Test 1 which will be next week.
(If you have trouble opening the pdf file, send an email to Dr. Vancliff about it.)

Sep 23

Read lecture notes & Sec 2.4 & also watch (or possibly rewatch) the video for Sept 23 on Canvas Conference page & do
Sec 2.4: 1, 2, 16, 17, 37.

Look over the Practice Test & its solutions posted on Canvas to study for Test 1; use password ``math3330'' to open the pdf file.
Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Test 1 will be 1 week from today; it will cover Secs 1.1-2.4. Information sheets for the test will be posted in Canvas (under assignments) by Sept 24. In addition to information for the test, one of the information sheets contains some questions to help you study for Test 1. The answers to the multiple-choice questions on that information sheet will be posted in Canvas on Sept 29; so work through the questions carefully and check your answers on Sept 29. If you want additional practice with immediate feedback, remember that there are quizzes on external websites linked on the course website and that the Practice Test and its solution sheet is in Canvas. Also, remember that you will be using Honorlock for the test. One of the information sheets addresses how to prepare for a test that is proctored using Honorlock.

Sep 28

Read lecture notes & Sec 2.4 & also watch (or possibly rewatch) the video for Sept 28 on Canvas Conference page & do
Sec 2.4: 5, 6, 10, 13, 19, 29, 30, 35, 40.
Do pages 107-109 (T/F): 1, 3, 7, 9-13, 15, 17, 25, 27, 28, 30, 35, 39, 47,, 5, 18, 21, 22, 34.

Test 1
will be on Wed-Thurs this week; see Sept 23 above for details.

Sep 30

Test 1 is due tomorrow (Oct 1) and is available starting today; see Sept 23 above for details.
Read lecture notes & Sec 3.1 & also watch (or possibly rewatch) the video for Sept 30 on Canvas Conference page & do
Sec 3.1: 14-16, 19, 22, 17, 30, 32.

Oct 05

Read lecture notes & Sec 3.1 & also watch (or possibly rewatch) the video for Oct 5 on Canvas Conference page & do
Sec 3.1: 1-8, 12, 33, 34, 44.

Look over Test 1 & its solutions posted on Canvas; see T1(score) under Assignments and use password ``math3330'' to open the pdf file.
Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Oct 07

Read lecture notes & pgs 122-124 & also watch (or possibly rewatch) the video for Oct 7 on Canvas Conference page & do
Sec 3.2: 1-3, 5, 34, 48, 49.

Oct 12

Read lecture notes & Sec 3.2 & learn Theorem 3.2.8 on pg 128 & also
watch (or possibly rewatch) the video for Oct 12
on Canvas Conference page & do
Sec 3.2: 8-13, 14-16, 21, 24, 43, 27, 28.

Oct 14

Read lecture notes & Sec 3.3 (especially pg 142) & learn Summary 3.3.10 on pg 142 & also watch (or possibly rewatch) the video for Oct 14 on Canvas Conference page and watch the video “Part 2 of Oct 14 Lecture” in Canvas Modules under “After-Class Videos”.
Do
Sec 3.3: 31, 26, 29, 30, 36, 16, 17, 19-21, 12, 13, 38, 39, 28, 82, 83.

Test 2 will be 1 week from today; it will cover Secs 1.1-3.3. Information sheets for the test will be posted in Canvas (under assignments) by Oct 15. In addition to information for the test, one of the information sheets contains some study questions to help you study for Test 2. The answers to the multiple-choice questions on that information sheet will be posted in Canvas on Oct 20; so work through the questions carefully and check your answers on Oct 20. If you want additional practice with immediate feedback, remember that there are quizzes on external websites linked on the course website and that the Practice Test and Test 1 and their solution sheets are in Canvas. Also, remember that you will be using Honorlock for the test. One of the information sheets addresses how to prepare for a test that is proctored using Honorlock.

Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Oct 19

Read lecture notes & Sec 3.4, especially pgs 155-7, & also watch (or possibly rewatch) the video for Oct 19 on Canvas Conference page.
Do Sec 3.4: 3, 7, 12, 16, 17, 43-45, 48,, 19, 21, 27.
Do pages 163-5 (T/F): 1-7, 9, 13, 14, 16, 18, 20, 28, 33, 35.
Test 2 will be on Wed-Thurs this week; see Oct 14 above for details.

Oct 21

Test 2 is due tomorrow (Oct 22) and is available starting today; see Oct 14 above for details.
Read lecture notes & pgs 166-174, & also watch (or possibly rewatch) the video for Oct 21 on Canvas Conference page.
Do Sec 3.4: 59, 60. Do pages 163-5 (T/F): 11.

Oct 26

Read lecture notes & pgs 166-174, & also watch (or possibly rewatch) the video for Oct 26 on Canvas Conference page.
In lecture, I promised a video to appear in Modules; however, since it was only 10 or so minutes worth, I continued with the Canvas conference after everyone left, and so today’s lecture and its continuation are both accessible from the conference page).
Do Sec 4.1: 1-4 (see Example 12 for the notation & see Example 16),, 7, 8, 20-22, 25, 26, 29, 30, 33.

Look over Test 2 & its solutions posted on Canvas; see T2(score) under Assignments and use password ``math3330'' to open the pdf file.
Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Oct 28

Read lecture notes & also watch (or possibly rewatch) the video for Oct 28 on Canvas Conference page and do
S
ec 4.2: 1, 3, 7, 9. (Note: ℝmxn in the book means all mxn matrices with entries in ℝ.)

Nov 02

Read lecture notes & Sec 4.2 (especially Example 6 & table on pg 183) & also watch (or possibly rewatch) the video for Nov 2 on Canvas Conference page and do
S
ec 4.2: 11, 17, 19, 22, 23,, 42-44, 60.

Nov 04

Read lecture notes & also watch (or possibly rewatch) the video for Nov 4 on Canvas Conference page. Some extra minutes beyond 12:20 pm were recorded and are accessible from the link on the conference page for that Canvas conference.
Do
Sec 4.3: 21, 23, 24, 15, 16, 29, 32, 33,, 46, 48, 57, 61b, 60ab and
do pages 199-201 (T/F): 2-6, 8, 12, 13, 18, 24, 27, 37, 51,, 35.

Nov 09

Read pgs 202-204 & lecture notes & also watch (or possibly rewatch) the video for Nov 9 on Canvas Conference page and do
Sec 5.1: 1-3, 10, 16, 29, 15, 17   &
Sec 5.2: 1, 5, 7, 33, 35.

Nov 11

Read pgs 225-231 & lecture notes & also watch (or possibly rewatch) the video for Nov 11 on Canvas Conference page. Some extra minutes beyond 12:20 pm were recorded and are accessible from the link on the conference page for that Canvas conference.
Do
Sec 5.3: 1-9, 35-37, 13-18, 21-24, 38, 52, 57, 61 and
pages 263-4 (T/F): 2, 3, 5, 7, 8, 12, 13, 18, 23-25, 37.

Test 3 will be 1 week from today; it will cover Secs 1.1-5.3. Information sheets for the test will be posted in Canvas (under assignments) by Nov 12. In addition to information for the test, one of the information sheets contains some study questions to help you study for Test 3. The answers to the multiple-choice questions on that information sheet will be posted in Canvas on Nov 17; so work through the questions carefully and check your answers on Nov 17. If you want additional practice with immediate feedback, remember that there are quizzes on external websites linked on the course website and that the Practice Test and Tests 1 & 2 and their solution sheets are in Canvas. Also, remember that you will be using Honorlock for the test. One of the information sheets addresses how to prepare for a test that is proctored using Honorlock.

Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Nov 16

Read lecture notes & also watch (or possibly rewatch) the video for Nov 16 on Canvas Conference page.
Do Sec 6.1: 1, 2, 5, 6, 9, 10, 12, 14, 15, 17, 19, 21, 22, 25, 29, 32-34, 45.
Watch the video “Section 6.2” in Canvas Modules under “After-Class Videos” and do
Sec 6.2: 1, 5, 6, 11-16, 35, 38-40, 45, 46, 17, 27.
Read pgs 300.5-302, 304-304.5. Do Sec 6.3: 22-24, 31, 33.
(This material from Sec 6.3 was not covered in lecture, but is covered on the homework.)
Do page 308-9 (T/F): 1, 3, 4, 8, 11, 12, 17, 20, 46.

Test 3 will be on Wed-Thurs this week; see Nov 11 above for details. (No lecture on Wed, but I’ll have office hours as usual on Wed.)

Nov 18

Test 3 is due tomorrow (Nov 19) and is available starting today; see Nov 11 above for details.
(There will be no lecture today, but I will lecture on Wed Nov 25, 11:00-12:20, even though most classes will not meet that day.
I will have office hours as usual today.)

Nov 23

Read Sec 7.1 & lecture notes & watch (or possibly rewatch) the video for Nov 23 on Canvas Conference page.
Do Sec 7.1: 25, 27, 29, 24, 26, 28, 67, 69.

Look over Test 3 & its solutions posted on Canvas; see T3(score) under Assignments and use password ``math3330'' to open the pdf file.
Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Nov 25

Read Sec 7.1 & learn Summary 7.1.5 on pg 315 & Theorem 7.1.3 on pgs 312-3 (Theorem L49 from lecture = Theorem 7.1.3 in book).
Read lecture notes & pgs 327-328, 331, 335 & also watch (or possibly rewatch) the video for Nov 25 on Canvas Conference page.
Some extra minutes beyond 12:20 pm were recorded and are accessible from the link on the conference page for that Canvas conference.
Do Sec 7.1: 38, 13, 8, 9, 1-5, 34, 46, 47, 51   &
Sec 7.2: 9-12, 15, 29, 32, 45.

Note: most classes will not meet today (see https://www.uta.edu/academics/academic-calendar/fall-2020 ).
However, in lieu of the lecture from Nov 18, I have chosen to lecture today. (No office hours today, though.)

Nov 30

Read lecture notes and Sec 7.3. Learn Theorem 7.3.7 on pg 344.
Also watch (or possibly rewatch) the video for Nov 30 on Canvas Conference page.
Do Sec 7.3: 5, 6, 9, 10, 13, 15, 17, 18, 35, 36.

Dec 02

Read lecture notes & pgs 352-4 & watch (or possibly rewatch) the video for Dec 2 on Canvas Conference page.
Do Sec 7.4: 5, 11, 49, 50, 48, 51, 39, 40.
Do pgs 382-4(T/F): 3, 6-8, 19, 29, 31, 45, 53.

Remember to complete online the student feedback survey by 11 pm on Tues Dec 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., quality of website, quality of study sheets, quality of information sheets, quality of videos, quality of conference lectures, use of ipad for lectures, use of Canvas); thank you!

Dec 07

Read Sec 8.1 & lecture notes & watch (or possibly rewatch) the video for Dec 7 on Canvas Conference page.
Do Sec 8.1: 5, 6, 9, 10, 14, 21, 22, 24, 31.
Remember to complete online the student feedback survey by 11 pm on Tues Dec 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., quality of website, quality of study sheets, quality of information sheets, quality of videos, quality of conference lectures, use of ipad for lectures,
use of 2 video feeds for lectures, use of Canvas); thank you!

The Final Test will be 1 week from today. Information sheets for the test will be posted in Canvas (under assignments) by Dec 8. In addition to information for the test, one of the information sheets contains some study questions to help you study for the test. The answers to the multiple-choice questions on that information sheet will be posted in Canvas on Dec 12; so work through the questions carefully and check your answers on Dec 12. If you want additional practice with immediate feedback, remember that there are quizzes on external websites linked on the course website and that the Practice Test and Tests 1-3 and their solution sheets are in Canvas. Also, remember that you will be using Honorlock for the test. One of the information sheets addresses how to prepare for a test that is proctored using Honorlock. Keep in mind that this test will have 3 parts (instead of 2 parts), in case any of you have internet issues or need a break.

Read through the suggestions of study techniques from Aug 26 above and see which one(s) might work for you.

Office hours through Tues Dec 8 are as usual. For office hours after Dec 8, see below…..

Dec 10

12:00-1:00 PM office hour

Dec 13

1:00-2:00 PM office hour

Dec 14

1:00-2:00 PM office hour

Window for Final Test opens today at 12:01 am CST; see Dec 7 above for details.

Dec 15

1:00-2:00 PM office hour

Window for Final Test closes today at 11:59 pm CST.

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