MATH 5333 HOMEWORK (Fall 2015)

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Book = Linear Algebra Done Right, 3rd Ed, by S. Axler, UTM, Springer. (Note the edition!)
A list of known errata for this book is posted here.
Note that there might be more than one correct answer/solution for any given question.

LAST REVISION: 12/11/15

You should make sure you are viewing the most current version of this page and not the version in your browser's cache; reload the page from source. Dates indicate homework assigned in lecture that day. Dates for future assignments are tentative, and subject to change. Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!


08/27/15

Attendance will be recorded, starting today.
Read course syllabus carefully. Make a note of the test dates in your calendar. Review course website and
repeat frequently during the semester. Read https://vancliff.utasites.cloud/T/S09/1426study.pdf and
https://www.jeffreybennett.com/pdf/How_to_Succeed_general.pdf for ideas on how to study most effectively.
Read lecture notes & pgs 1-10, 12-17. Do 1A: 1, 2, 4, 11, 14 & 1B: 1, 2, 4, 6. Read pgs 118-120.

09/01/15

Read lecture notes & pgs 18-24. Do 1C: 1, 3-6, 10, 12, 14, 15, 20, 23.
Do the following questions on past UTA preliminary examinations:
Jan 2013 #3(a), Jan 2014 #3, Jan 2015 #2(b). Read pgs 120-121.

09/03/15

Read lecture notes & pgs 27-36. Do 2A: 1-3, 5-7, 12-15. Read pgs 121-122.
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.

09/08/15
Read lecture notes & pgs 39-42, 44-47.   Do 2B: 3-7   &    2C: 1-5, 8, 11-13, 15.
Do the following questions on past UTA preliminary examinations:
Jan 2013 #3(b)-(d),  Aug 2014 #2(a),  Jan 2015 #2(c)(d).
Read pgs 122-123.
09/10/15
Read lecture notes & pgs 51-57.   Do 3A: 1, 3, 4, 7, 10, 11, 14.   Read pgs 123-126.
Test 1 will be 1 week from today.   See the information sheet.
09/15/15
Read lecture notes & pgs 59-66.   Read these notes about writing proofs.
Do 3B: 3, 6, 9-11, 13-15, 29-31.    Read pgs 126-129.
See the link above to an information sheet for Test 1. 
09/17/15
Test 1 today;   see Sept 10 above for information sheet. 
Read lecture notes & pgs 70-77, 80-88.     Do 3C: 2, 12    &    3D: 1, 7(a), 15.
Do the following questions on past UTA preliminary examinations:
Jan 2013 #1(a),  Jan 2014 #2,  Aug 2014 #3(b)(c).
Read pg 109.
09/22/15

Read lecture notes & do 3D: 8-11, 18, 20.
Go over the solutions to Test 1; use password ``math5333'' to access the file.

09/24/15
Read lecture notes & pgs 101-112.
Do question H1 at this website &   3F: 1, 3, 4, 7, 10, 12, 15, 18-22.
09/29/15
Read lecture notes & pgs 131-136.    Do  3F: 13, 34   and   5A: 1, 2.  
10/01/15
Read lecture notes & pgs 143-152.
Do 5A: 8, 9, 11, 12, 14, 18-20, 25, 26, 32   and   
5B: 1(a), 2, 4, 5 (hint: try p = xm 1st), 7, 9, 13.
10/06/15
Read lecture notes, this file  & pgs 155-160.   Do 5B: 14, 15, 20    and    
5C: 1-4, 6, 8, 9, 11, 14, 16 (hint for 16(d): write (0, 1) as a
linear combination of the basis vectors found in (c) & then compute Tn(0, 1) ).
Do the following questions on past UTA preliminary examinations: 
Jan 2013 #2, Aug 2015 #1(a)(i).
Test 2 will be 1 week from today; see the information sheet.
Recall that the link to the solution sheet to Test 1 is above.
10/08/15

Read lecture notes & pgs 163-174.
Do 6A: 2, 4, 7, 8, 10, 16, 19, 20, 24, 25, 26(a).
Test 2 on Tuesday; see Oct 6 above for information sheet.

10/13/15

Test 2 today; see Oct 6 above for information sheet.
Read lecture notes & pgs 180-189. Do 6B: 1(a), 3-6.

10/15/15

Go over the solutions to Test 2; use password ``math5333'' to access the file.
Read lecture notes & pgs 180-189. Do 6B: 7, 8, 17.

10/20/15

Read lecture notes & pgs 193-200. Do 6C: 1-3, 5, 7, 11, 12.
Do the following questions on past UTA preliminary examinations:
Aug 2013 #5, Aug 2014 #4(a), Jan 2015 #4(b), Aug 2015 #3 & #5(a)(b).

10/22/15

Read lecture notes. Do questions H2 & H3 at this website.
Do the following questions on past UTA preliminary examinations: Aug 2012 #4.

10/27/15

Read lecture notes & pgs 203-214. Do 7A: 1-4, 6, 8, 9, 20, 21.

10/29/15

Read lecture notes & pgs 217-222. Do 7B: 6, 7, 9, 11.

11/03/15

Do 7B: 2, 3.
Do the following questions on past UTA preliminary examinations:
Jan 2014 #4 & #5, Aug 2014 #4(b)(c), Jan 2015 #4(a) & #5, Aug 2015 #4 & #5(c).
Read pgs 225-231.
Test 3 will be 1 week from today. See the information sheet.

11/05/15

Read lecture notes & pgs 242-249. Do 8A: 1, 2, 4-9, 16.
Do the following questions on past UTA preliminary examinations:
Jan 2012 #3, Aug 2015 #1(b)(i)(ii).
Test 3 on Tuesday; see Nov 3 above for information sheet.

11/10/15

Test 3 today; see Nov 3 above for information sheet.

11/12/15

Read lecture notes & pgs 252-259. Do 8B: 1, 3(evals only), 5, 6.
Do the following questions on past UTA preliminary examinations:
Aug 2013 #3(b)(ii), Aug 2015 #1(b)(iii).

11/17/15
&
11/19/15

Go over the solutions to Test 3; use password ``math5333'' to access the file.
Read lecture notes & pgs 261-267. Do 8C: 1-3 .
Do questions H4, H5, H6 at this website.
Do 8C: 4-6, 12, 16.
Do questions H7, H8 at this website.
Do the following questions on past UTA preliminary examinations:
Jan 2013 #1(b), Aug 2013 #1(c), Aug 2014 #1(b), Jan 2015 #1(b)(c).

11/24/15
&
12/01/15

Read lecture notes & pgs 270-273.
Make sure you understand the in-class handout on Jordan normal form.
Do questions H9-H16 at this website and 8D: 4.
Do the following questions on past UTA preliminary examinations:
Aug 2011 #3, Jan 2015 #1(a) & #5(c), Aug 2015 #1(a)(ii)(iii).

12/03/15

Read lecture notes & pgs 91-93. Do 3E: 1, 6, 14(a).

12/08/15
No new homework; today's lecture will be a chance for you to ask questions.
Remember to complete online the student feedback survey by 11 pm on Wed Dec 9 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., quality of website?); thank you!
12/12/15
Approx 2:15-4:15 pm:  office hours in PKH 462
12/14/15
Approx 2:30-4:00 pm:  office hours in PKH 462
12/15/15
FINAL TEST  today, starting at 5:30 pm; see the information sheet.
Back to Dr Vancliff's Fall 2015 teaching page 

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