HW3 - SCHOOL OF ENGINEERING SCIENCE SIMON FRASER UNIVERSITY...

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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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