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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 1-18
Fields and Vector Spaces
Work in groups of 3-4 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
3|p, q Q}.
Statement: Q[
3] is a field.
(b) Let Q be the rational numbers and Q[
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