 
Summary: Linear Algebra Worksheet 1
Math 108A Fall 2009, TA Grace Kennedy
NAME:
Course Website: http://math.ucsb.edu/kgracekennedy/F09108A.html
Supplemental Reading: Axler pages 118
Fields and Vector Spaces
Work in groups of 34 and explain your arguments to each other. In the last
30 minutes, you will take turns presenting your solutions on the board and
answering the questions of your classmates.
Here, F represents a field.
1. Prove of disprove the following statements.
(a) Let Q be the rational numbers and Q[
3] = {p + q
3p, q Q}.
Statement: Q[
3] is a field.
(b) Let Q be the rational numbers and Q[
