NAME:
T.T.Moh
Math 554 Qualifying Examination
Jan. 2013
This is a two hour test.
Write your answers on the test paper!
For decimal approximations, it is enough to give 2 decimal places.
Show your work such that your reasoning can be followed.
There are 10
LINEAR ALGEBRA COMPREHENSIVE EXAM JAN,
2012
Attempt all questions. Time 2 hrs
1. Let A be a commutative ring with identity, and let E be a free
A-module of nite rank, and u EndA (E ).
(a) (2 pts) Give a basis free denition of det(u).
(b) (8 pts) Prove tha
NAME:
T.T.Moh
Math 554 Qualifying Examination
Aug. 2013
This is a two hour test.
Write your answers on the test paper!
For decimal approximations, it is enough to give 2 decimal places.
Show your work such that your reasoning can be followed.
There are 10
Math 55400
Qualifying Exam
August, 2011
PUID:
Instructions:
1. The point value of each exercise occurs to the left of the problem.
2. No books or notes or calculators are allowed.
Page
Points Possible
2
20
3
18
4
18
5
16
6
16
7
17
8
16
9
20
10
14
11
16
12
NAME:
T.T.Moh
Math 554 Qualifying Examination
August 2012
This is a two hour test.
Write your answers on the test paper!
For decimal approximations, it is enough to give 2 decimal places.
Show your work such that your reasoning can be followed.
There are