12-240/Classnotes for Tuesday September 25: Difference between revisions
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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 |
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 |
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VxV={(v,w): v,w <math>\in\!\</math> V} |
VxV={(v,w): v,w <math>\in\!\,</math> V} |
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==Scanned Notes by [[User:Richardm|Richardm]]== |
==Scanned Notes by [[User:Richardm|Richardm]]== |
Revision as of 18:27, 25 September 2012
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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}