MATH 3330 HOMEWORK (Spring 2021)

MATH 3330 HOMEWORK (Spring 2021)

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

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Homework will not be collected.
There might be more than one correct answer for any given question.
Dates indicate homework assigned in lecture on that date. Dates for future assignments are tentative, and subject to change. (However, it will be similar to the homework posted here.)
On some dates, the questions are in a nonincreasing order; that is the order recommended by your instructor and is usually chosen to match the order in which the material was presented in class.
Any optional exercises are for those students who wish to explore some of the ideas in more depth – those questions are NOT game for the tests.
Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!
Also, see the links to other instructors’ practice quizzes/tests on my website.
Recall that our test dates are: Feb 9-17, ~~Feb 18-19~~ Feb 25-26, Mar 23-24, Apr 20-21, May 6-7.
LAST REVISION: 4/22/21.

Jan 19

Check your Canvas notifications to check you can receive Canvas announcements and Canvas notification of conference initiation.
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.

Watch (or possibly rewatch) the video for Jan 19 on Canvas Conference page.

Jan 21

Read lecture notes (meaning the notes you should have taken during class) & Sec 1.1 & Sec 1.2 &
watch (or possibly rewatch) the video for Jan 21 on Canvas Conference page.
Note that the recording in the Canvas conference page is longer than the lecture since it finishes Sec 1.1 and covers Sec 1.2.

Do Sec 1.1: 2, 11-13, 16, 17, 19, 22 (note: Emile is a male name and Gertrude is a female name), 26, 31, 33,38, 45, 46, 50, &
Sec 1.2: 1-4, 6, 8, 18, 21, 26, 27, 31, 43, 47, 48, 63.
Try some practice quizzes.

Jan 26

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 Jan 26 on Canvas Conference page.
Do Sec 1.3: 1-5, 20, 10-12, 9, 13-19. 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.

Jan 28

Read lecture notes & Sec 1.3 & also watch (or possibly rewatch) the video for Jan 28 on Canvas Conference page.
Do Sec 1.3: 6,7, 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.

Feb 02

Read lecture notes & also watch (or possibly rewatch) the video for Feb 2 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).
The end of the lecture recording has a small amount from Section 2.1 that we did not have time to cover in lecture.
Do Sec 2.1: 1-6, 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.

The Practice Test will open 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 Feb 8; so work through the questions carefully and check your answers on Feb 8. 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.

Feb 04

Read lecture notes & pgs 75-81 & also watch (or possibly rewatch) the video for Feb 4 on Canvas Conference page & do
Sec 2.3: 1-5, 7, 10, 11, 35, 43, 44,, 20, 22, 26, 57, 58, 61.

The Practice Test will open on Tuesday; see Feb 2 above for details.

Feb 09

Read lecture notes & Sec 2.4 & also watch (or possibly rewatch) the video for Feb 9 on Canvas Conference page.
The end of the lecture recording has a small amount (about 10 minutes) from Section 2.4 that we did not have time to cover in lecture.
Do Sec 2.4: 1, 2, 16, 17, 37,, 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.

The Practice Test opens today; see Feb 2 above for details.

Feb 11

Read lecture notes & Sec 3.1 & also watch (or possibly rewatch) the video for Feb 11 on Canvas Conference page.
The end of the lecture recording has a small amount (about 18 minutes) from Section 3.1 that we did not have time to cover in lecture.
Do Sec 3.1: 14-16, 19, 22, 17, 30, 32,, 1-8, 12, 33, 34, 44.

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 Jan 19 above and see which one(s) might work for you.

Test 1 will be ~~1 week from today~~ 2 weeks from today; it will cover Secs 1.1-2.4. Information sheets for the test will be posted in Canvas (under assignments) by Feb 11. 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 Feb 17 24; so work through the questions carefully and check your answers on Feb 17 24. 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.

Feb 16

Owing to weather etc, there is no lecture today per UTA instructions (to help conserve electricity).

Test 1 will be on Thurs-Fri ~~this week~~ next week; see Feb 11 above for details.

Feb 18

Owing to weather etc, there is no lecture today per UTA instructions (to help conserve electricity).

Test 1 will be on Thurs-Fri ~~this week~~ next week; see Feb 11 above for details.

Feb 23

No lecture today – instructor ill.
Test 1 will be on Thurs-Fri this week; see Feb 11 above for details.

Feb 25

Test 1 is due tomorrow (Feb 26) and is available starting today; see Feb 11 above for details.
No lecture today and no new homework today.

Mar 02

Read lecture notes & Sec 3.2 & pgs 122-124 & learn Theorem 3.2.8 on pg 128 & also watch (or possibly rewatch) the video for Mar 2 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 40 minutes extra.
Do Sec 3.2: 1-3, 5, 34, 48, 49,, 8-13, 14-16, 21, 24, 43, 27, 28.

Look over Test 1 & its solutions posted on Canvas (use password ``math3330'' to open the pdf file); see T1(grade).
Read through the suggestions of study techniques from Jan 19 above and see which one(s) might work for you.

Mar 04

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 Mar 4 on Canvas Conference page.
Do Sec 3.3: 31, 26, 29, 30, 36, 16, 17, 19-21, 12, 13, 38, 39, 28, 82, 83.

Mar 09

Read lecture notes & Sec 3.4, especially pgs 155-7, & also watch (or possibly rewatch) the video for Mar 9 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 20 minutes extra.
Do Sec 3.4: 3, 7, 12, 16, 17, 43-45, 48,, 19, 21, 27,, 59, 60.
Do pages 163-5 (T/F): 1-7, 9, 13, 14, 16, 18, 20, 28, 33, 35,, 11.

Test 2 will be 2 weeks from today; it will cover Secs 1.1-3.4. Information sheets for the test will be posted in Canvas (under assignments) by Mar 12. In addition to information for the test, one of the information sheets contains some 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 Mar 22; so work through the questions carefully and check your answers on Mar 22. 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 Jan 19 above and see which one(s) might work for you.

Mar 11

Read lecture notes & pgs 166-174, & also watch (or possibly rewatch) the video for Mar 11 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 20 minutes extra.
Do Sec 4.1: 1-4 (see Example 12 for the notation & see Example 16),, 7, 8, 20-22, 25, 26, 29, 30, 33.

Test 2 will be on March 23-24; see March 9 above for details.

Mar 16
&
Mar 18

SPRING BREAK
Go over the Practice Test & Test 1 and their solutions on Canvas & read over all lecture notes & get caught up on watching the lecture recordings. Read through the suggestions of study techniques from Jan 19 above and see which one(s) might work for you. Get caught up on all homework!!

Test 2 will be on March 23-24; see March 9 above for details.

Mar 23

Test 2 is due tomorrow (Mar 24) and is available starting today; see March 9 above for details.
No lecture today and no new homework today.

Mar 25

Read lecture notes & Sec 4.2 (especially Example 6 & table on pg 183) & also watch (or possibly rewatch) the video for Mar 25 on Canvas Conference page and do
Sec 4.2: 1, 3, 7, 9, 11, 13, 14, 17, 19, 22, 23,, 42-44, 60. (Note: ℝ^mxn in the book means all mxn matrices with entries in ℝ.)

Mar 30

Read lecture notes & also watch (or possibly rewatch) the video for Mar 30 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 15 minutes extra.
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.

Look over Test 2 & its solutions posted on Canvas (use password ``math3330'' to open the pdf file); see T2(grade) & T2+T1(grade).
Read through the suggestions of study techniques from Jan 19 above and see which one(s) might work for you.

Apr 01

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

Apr 06

Read pgs 225-231 & lecture notes & also watch (or possibly rewatch) the video for April 6 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 8 minutes extra.
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.

Apr 08

Read lecture notes & also watch (or possibly rewatch) the video for April 8 on Canvas Conference page.
The end of the lecture recording has additional material that we did not have time to cover in lecture; about 28 minutes extra.
Do Sec 6.1: 1, 2, 5, 6, 9, 10, 12, 14, 15, 17, 19, 21, 22, 25, 29, 32-34, 45, and
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.

Apr 13

Read Sec 7.1 & lecture notes & watch (or possibly rewatch) the video for April 13 on Canvas Conference page.
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).
Do Sec 7.1: 25, 27, 29, 24, 26, 28, 67, 69,, 38, 13, 8, 9, 1-5, 34, 46, 47, 51.

Test 3 will be 1 week from today; it will cover Secs 1.1-6.3. Information sheets for the test will be posted in Canvas (under assignments) by April 14. In addition to information for the test, one of the information sheets contains some 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 April 18; so work through the questions carefully and check your answers on April 18. 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 Jan 19 above and see which one(s) might work for you.

Apr 15

Read lecture notes & pgs 327-328, 331, 335 & also watch (or possibly rewatch) the video for April 15 on Canvas Conference page.
Do Sec 7.2: 9-12, 15, 29, 32, 45.

Test 3 will be on Tues-Wed next week; see April 13 above for details.

Apr 20

Test 3 is due tomorrow (April 21) and is available starting today; see April 13 above for details.
No lecture today and no new homework today.

Apr 22

Read lecture notes and Sec 7.3. Learn Theorem 7.3.7 on pg 344.
Also watch (or possibly rewatch) the video for April 22 on Canvas Conference page.
Do Sec 7.3: 5, 6, 9, 10, 13, 15, 17, 18, 35, 36.

Apr 27

Read lecture notes & pgs 352-4 & watch (or possibly rewatch) the video for April 27 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.

Look over Test 3 & its solutions posted on Canvas (use password ``math3330'' to open the pdf file); see T3(grade) & T3+T2+T1(grade).
Read through the suggestions of study techniques from Jan 19 above and see which one(s) might work for you.

Apr 29

Read Sec 8.1 & lecture notes & watch (or possibly rewatch) the video for April 29 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 Tuesday May 4 -- 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, tests’ solutions); thank you!

The Final Test will be 1 week from today. Information sheets for the test will be posted in Canvas (under assignments) by April 28. In addition to information for the test, one of the information sheets contains some 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 May 3; so work through the questions carefully and check your answers on May 3. 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 4 parts (instead of 2 parts); this is in case any of you have internet issues or need a break.

Read through the suggestions of study techniques from Jan 19 above and see which one(s) might work for you.

May 04

We will spend today's lecture reviewing the course material & discussing any questions from students; no new homework.

Remember to complete online the student feedback survey by 11 pm today (Tuesday May 4) -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., quality of website, 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, tests’ solutions); thank you!

Regular office hour times do not apply after today. See announcements in Canvas for times of office hours after today.

The Final Test is in 2 days; see April 29 above for details.

May 06

Window for Final Test opens today at 12:01 am CDT; see April 29 above for details.

May 07

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

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