SCHOOL OF ENGINEERING SCIENCE
SIMON FRASER UNIVERSITY
ENSC 428 – Digital Communications Spring 2008
Homework #3
due
Feb. 1, 2008
Friday
1. A vector space
V
over a given field
F
is a set of elements (called vectors) closed
under and operation + called vector addition. There is also an operation * called
scalar multiplication, which operates on an element of
F
(called scalar) and an
element of
V
to produce an element of
V
. The following properties are satisfied:
±
V is an Abelian group under +. Let 0 denote the additive identity.
±
For every
v
,
w
in
V
and every
a
,
b
in
F,
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 Spring '08
 DanielLee
 Addition, Vector Space, additive inverse, School of Engineering Science

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