12-240/Classnotes for Tuesday September 25: Difference between revisions

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VxV={(v,w): v,w <math>\in\!\,</math> V}
VxV={(v,w): v,w <math>\in\!\,</math> V}

FxV={(c,v): c <math>\in\!\,</math> F, v <math>\in\!\,</math> V}


==Scanned Notes by [[User:Richardm|Richardm]]==
==Scanned Notes by [[User:Richardm|Richardm]]==

Revision as of 19:28, 25 September 2012

Today's class dealt with the properties of vector spaces.


Definition

Let F is a field, a vector space V over F is a set V of vectors with special element O ( of V) and tow operations: (+): VxV->V, (.): FxV->V

VxV={(v,w): v,w V}

FxV={(c,v): c F, v V}

Scanned Notes by Richardm