12-240/Classnotes for Tuesday September 25

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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