MATH 1B03E - SUMMER, 2012
Linear Algebra I
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I have uploaded solutions for the sample final on Avenue. Please remember that half the class on Tuesday will cover more material -- material related to dimension, subspaces, rank and nullity.
It may help you to read the solutions if you know that a square matrix, say n x n, is diagnolizable if and only if the sum of the geometric multiplicities of its eigenvalues in n (it is always less than or equal to n).
The geometric multiplicity will be defined in class. But it is the dimension of the null-space of A-\lambda I (the dimension of the eigenspace).
Please check avenue for announcements regarding the Final Exam.
In the meanwhile here are some suggested problems from Chapter 4:
You don't have submit these. But do try them and ask for help in class and during office hours.
Section 4.2 : 8a, 12a
Section 4.3 2, 3, 7b
Section 4.7 3a, 4a, 6a, 6e, 7a, 11b
Section 4.8 2d, 5a, 13.
Solutions to the sample problems from older tests have been posted on Avenue.
***** Dr. Sastry will be in his office by noon for his office hours today (Wednesday, May 30, 2012). *****
Reminder: You have your first midterm tomorrow (May 17) in class. It is for 75 minutes (7pm to 8:15pm). There will be class after the test. The Test has five questions.
Also, please do check your Avenue site for announcements.
I have uploaded a sample test for test 2. This is a sample test from Fall 2011. Some questions will be worked out in class.
Test 2 topics
**In addition to the topics mentioned earlier, Chapter 2 (Determinants) is also on Test
Section 1.7 (some stuff has not been done yet, like the inverse of a symmetric matrix).
Eigenvalues, eigenvectors, diagonalization. In other words 5.1 and 5.2. Ignore Theorem 5.1.6 (since we haven't yet done linear dependence and linear independence).
Complex numbers (see Appendix B pp. 713--719).
The second mid-term will be on Tuesday, June 5 in class.
The material for the test will be posted later.
Test 1 will be in class on Thursday May 17. It will cover sections 1.1 to 1.6 of the books. The test will be for 75 minutes and will start at 7 pm. And there will be a lecture after the test (since we are running short of time) .
************* ASSIGNMENTS: Assignment 4:
Your 4th assignment has been posted on WileyPlus. It is due on Tuesday May 29 by 7 PM. _____________
Your 3rd assignment is up on WileyPlus and due by Thursday May 24.
Your first assignment has been posted on WileyPlus. The problems are not exactly the one's I announced in class. You need to buy a new book to get the access code. If you are a returning student who took this course last term, you already have an access code. Once you buy the book (with whatever licenses necessary), you need to get onto www.wileyplus.com and look for McMaster University and finally find this course.
Please look out for your WileyPlus assignment well before the class on Tuesday. The technical issues will be sorted out soon. And do visit this site for updates on the WileyPlus status.