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APPLIED LINEAR ALGEBRA MODULE 2 VECTORS, Lecture notes of Linear Algebra

Vellore Institute of TechnologyLinear Algebra

VECTORS ALA VECTORSPACE LINEAR COMBINATION LINEAR SPAN

Typology: Lecture notes

2020/2021

Uploaded on 05/02/2021

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Download APPLIED LINEAR ALGEBRA MODULE 2 VECTORS and more Lecture notes Linear Algebra in PDF only on Docsity!

A set V is said to be a vector space over a scalar field K if 1. an addition operation + is defined between any two elements of V, and 2. a scalar multiplication operation is defined between any element of K and any element in V. Moreover, the following properties must hold for all 0,V¥, Ww € V and a,beK: Closure Properties 1 G+VeEV. 2. aeV.