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VS2 <math>\forall\!\,</math> x, y, z <math>\in\!\,</math> V: x+(y+z) = (x+y)+z |
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VS2 <math>\forall\!\,</math> x, y, z <math>\in\!\,</math> V: x+(y+z) = (x+y)+z |
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VS3 <math>\forall\!\,</math> x <math>\in\!\,</math> V: 0 ( of V) +x = x |
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Revision as of 18:36, 25 September 2012
| Additions to this web site no longer count towards good deed points.
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| #
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Week of...
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Notes and Links
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| 1
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Sep 10
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About This Class, Tuesday, Thursday
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| 2
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Sep 17
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HW1, Tuesday, Thursday, HW1 Solutions
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| 3
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Sep 24
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HW2, Tuesday, Class Photo, Thursday
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| 4
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Oct 1
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HW3, Tuesday, Thursday
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| 5
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Oct 8
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HW4, Tuesday, Thursday
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| 6
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Oct 15
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Tuesday, Thursday
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| 7
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Oct 22
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HW5, Tuesday, Term Test was on Thursday. HW5 Solutions
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| 8
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Oct 29
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Why LinAlg?, HW6, Tuesday, Thursday, Nov 4 is the last day to drop this class
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| 9
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Nov 5
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Tuesday, Thursday
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| 10
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Nov 12
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Monday-Tuesday is UofT November break, HW7, Thursday
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| 11
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Nov 19
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HW8, Tuesday,Thursday
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| 12
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Nov 26
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HW9, Tuesday , Thursday
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| 13
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Dec 3
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Tuesday UofT Fall Semester ends Wednesday
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| F
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Dec 10
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The Final Exam (time, place, style, office hours times)
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| Register of Good Deeds
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Add your name / see who's in!
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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}
Then, (+): VxV->V is (v,w)= v+w; (.): FxV->V is (c,v)=cv
Such that
VS1 
x, y V: x+y = y+x
VS2 x, y, z V: x+(y+z) = (x+y)+z
VS3 x V: 0 ( of V) +x = x
VS4
VS5
VS6
Scanned Notes by Richardm
