12-240/Classnotes for Tuesday September 25: Difference between revisions
From Drorbn
Jump to navigationJump to search
| Line 8: | Line 8: | ||
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 18:28, 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 [math]\displaystyle{ \in\!\, }[/math] V}
FxV={(c,v): c [math]\displaystyle{ \in\!\, }[/math] F, v [math]\displaystyle{ \in\!\, }[/math] V}
