This preview shows page 1. Sign up to view the full content.
Modern Algebra and Geometry I
Math 4000/6000 (92321)
Homework Assignments 6A and 6B – Due Friday, February 10
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted. Write your solutions in complete mathematical
sentences. Always provide a complete justiﬁcation for each solution, even if a problem does not
explicitly ask you to do so. When using a result from the textbook as part of a solution, clearly
identify the result you are using, e.g., “.
. . so the statement is true for all
n
∈
N
by the Principle of
Mathematical Induction,” or “.
. . and 34
7
≡
34 (mod 7) by Proposition 3.3 of Chapter 1.”
This assignment consists of two parts that must be turned in separately.
Problems in
Part A will be marked by the course grader. Problems in Part B will be marked by the instructor.
(A) 1.
§
1.3 # 21b. Determine all possible solutions to the pair of congruence equations. (Show
all of your work. Do not merely invoke the formulas in the textbook. No guess and check.)
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Staff
 Algebra, Geometry

Click to edit the document details