# Vector Spaces When In The Real World Are We Checking If Its A Vector Space Or

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Vector and posted on May 15th, 2019.

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The specific example here is artificial yes but it is meant to show that we need to be careful when checking whether a set of vector-like objects together with two operations (vector addition and scalar multiplication) actually is a vector graphice or not.We will now look at some contrived examples of sets under specified operations of addition and scalar multiplication and determine whether or not they are vector graphices. Example 1 Let V mathbbR2 and let u v in mathbbV such that u (u_1 u_2) and v (v_1 v_2) .20.10.2016 Vector graphices are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science.Autor SocraticaAufrufe 226Kgraphiclnge 7 Min.

Vector graphices. Vector graphices and linear transformations are the primary objects of study in linear algebra. A vector graphice (which Ill define below) consists of two sets A set of objects called vectors and a field (the scalars).The notion is then known as an F-vector graphices or a vector graphice over F. A field is essentially a set of numbers possessing addition subtraction multiplication and division operations. For example rational numbers form a field.

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## Vector Spaces When In The Real World Are We Checking If Its A Vector Space Or

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