SCHOOL OF ENGINEERING SCIENCE SIMON FRASER UNIVERSITY ENSC 428 – Digital Communications Spring 2008 Homework #3 due Feb. 1, 2008 Friday 1. A vector space Vover a given field Fis 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 Vto 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,win Vand every a,b inF,
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