12-240/Classnotes for Tuesday September 25

From Drorbn
Revision as of 19:28, 25 September 2012 by Dangkhoa.nguyen (Talk | contribs)

Jump to: navigation, search

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 \in\!\, V}

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

Scanned Notes by Richardm