MAT 240F - Problem Set 8
Not to be handed in.
Remark: With the exception of questions 5c) and 6d), the questions in this problem set can
be used as review questions for the nal exam.
1. A matrix A = (
MAT 240 - Problem Set 3
Due Thursday, October 9th
Questions 3a), 4a), 5b), 9c), 10 and 11a) will be marked.
1. Let x = (x1 , x2 , x3 , x4 ) C4 . Set y = (0, 1, 1 + i, i) and z = (1, i, 1, i). Show tha
MAT 240 - Problem Set 4
Due Thursday October 16th
Questions 1d), 2c), 2d), and 7 will be marked.
1. In each case, nd a basis for the indicated subspace W of the vector space V . In some parts,
you mus
MAT 240 - Problem Set 6
Due Thursday, November 13th
Questions 3, 4a), and 5e) will be marked.
1. #2 b) 2.3.
2. #12 2.3.
3. Let V be a vector space over a eld F and let L(V ) be the vector space of lin
MAT 240 - Problem Set 1
Due Thursday, September 25th
NOTE:
Questions 4, 5, 6a), 9b) and 10c) will be marked. It is not necessary to hand in solutions to
other questions, but it is recommended that st
MAT 240 - Problem Set 5
Due Thursday November 6th
Questions 1a), 8, and 11a) will be marked.
1. Determine whether the function T : V W is a linear transformation.
a) Let V = W = P (F ), where F is a e
MAT 240F - Problem Set 7
Due Thursday, November 20th
Questions 1, 3 b), 4 c) and 5 will be marked.
1. Let V1 , V2 , W1 and W2 be vector spaces over a eld F . Let T L(V1 , V2 ), U1 L(W1 , V1 ) and
U2 L
Do not turn this page until instructed.
Math 240 Algebra I Term Test
University of Toronto, October 25, 2012
Solve 4 out of the 5 problems on the other side of this page.
Each of the problems is worth
Dror Bar-Natan: Classes: 2014-15:
http:/drorbn.net/?title=14-240
Do not turn this page until instructed.
Math 240 Algebra I
Term Test
University of Toronto, October 21, 2014
Solve 4 of the 5 problems
MAT 240 - Problem Set 2
Due Thursday, October 2
Questions 1c), 1d), 1e), 3a), 4b), 4c), and 5 will be marked.
1. In each of the following parts, determine whether or not the set V with the given opera