Teaching Assistant: Uri Grupel
e-mail: urigrupe@post.tau.ac.il
Room 8, Research Rooms (next to the Exact Sciences Library)
mail box: Shriber 113
homepage: http://www.math.tau.ac.il/~urigrupe/
office hours: contact me via e-mail

# Subject HW Sol
1 Geometry: Vector arithmetic, dot product, norm and angle between vectors PDF PDF
2 Geometry: Area, volume and vector product PDF PDF
3 Fields: Definition, finite fields and complex numbers PDF PDF
4 System of linear equations PDF PDF
5 Matrix operations, inverse matrix PDF PDF
6 More about inverse matrix PDF PDF
7 Vector spaces, sub-spaces and linear dependence PDF PDF
8 Basis, sum of vector spaces PDF PDF
9 Dimensions, dimension formula, direct sum and determinants PDF PDF
10 Cramer's rule, adjoint matrix and linear transformations PDF PDF
11 More on linear transformations, dimension formula for linear transformations, representation by a basis of vectors and linear transformations PDF PDF
12 Some more on representation by a basis, similar matrices, diagonalizable matrices and inner product PDF PDF
* Some questions about orthogonal/orthonormal basis, orthogonal complement and orthogonal matrices PDF PDF

Messages

13/6 I've updated the file about the jordan form. The change was in sub-section 4 in "how to find a jordan form", and in the second example sub-section a. Note that since you didn't see that in class (only sub-section 4) you don't need to know that for the exam. (again you need to know jordan form, but not the meaning of dim(ker(A-tI)k)-dim(ker(A-tI)k-1)
7/6 Preparation lesson will be held on Sunday 13.6 at 12:00, In room 134 Wolfson Building. I will only solve question that you ask (from exams, homework and lessons), I won't bring questions of my own. Please send me the question by mail before the lesson
30/5 Homework #12 is the last one (next week I won't publish another), that is why it is so long. It contains everything we'll do by the end of the semester, so don't worry if there are some thing we haven't talked about. I'll try to publish the solution during this week or at the begining of next week. Enjoy
24/5 Question 7,13 were corrected in homework #10. Also I've added a comment at the end to explain some of the definitions used in question 13. Try to solve these questions before you look at the solution
17/5 For those of you who weren't in today for the third hour, we canceled it. If I'll decide that we need an extra hour I'll let you know.
17/5 Questions: 6,9a,11 were corrected in solution #9
12/5 Next week (17/5) we'll have another 3 hours class (14:00-17:00). This is the last time we'll do that
12/5 I've added different ways of solutions to the mid-term exam, updated the grade file and added a PDF version for those of you who had problem seeing the grades
3/5 Next week (10/5) the class will be three hours (14:00-17:00)
26/4 In homework #7 question 2e think about n=2,3 and check if it's a vector space.
18/4 Details about the exam: You need to know everything up to vector spaces (homework #1-#6).
There will be a choice (4 out of 5, or 5 out of 6). The exam is closed (neither formulas, nor any other material).
6/4 Questions 7b and 7c were corrected in solution #4
Note that the line of zeros can be replaced by a combination of the first two lines
24/3 Question 3c was corrected in solution #3 for Z13
24/3 Note that in solution #4 I've changed the order of some of the sub-questions.
The reason was my convenience in writing the solution, I hope it didn't confuse you.
22/3 Question 7a was corrected in solution #4
22/3 Homework #5 was updated. For those of you who managed to see it before the update, note that question 7 was changed.
16/3 The mid-term exam will defend your grade by 15%.
i.e denote a="final exam grade", b="mid-term exam grade" then
final grade=max{a,0.85a+0.15b}
11/3 Questions 2 and 3 were corrected in solution #2
8/3 A mid-term exam will take place on 27/4, at 15:00
1/3 Pictures were added to solution 1

Additional material

24/6 Suggested final exam solution. Note that there are other correct ways to solve the exam PDF
24/6 The final exam (15/6/10) PDF
10/6 A detailed explanation about Jordan form PDF
3/6 A list of definitions and subjects you need to know for the exam PDF
24/5 Previous exams of Prof. Boris Kunyavski ZIP
24/5 Like I said, I have the proof, that rank(AB) is not greater than rank(A) or rank(B), on file. This is exactley what weve done in class so I'm not sure it will help you. PDF PDF
24/5 Previous exams. I don't know who wrote the solutions, use at your own risk ZIP
11/5 The solution to the mid-term exam PDF
10/5 Distribution of the mid-term exam grades PDF
10/5 Grades for your mid-term exam XLS PDF
3/5 Organized explanation about find a basis using row operations PDF
22/4 Details about the Fibonacci sequence, it's nice to see the origins of the problem HTML
8/3 Detailed information about the roots of a complex number PDF
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