12-240/Classnotes for Thursday October 11: Difference between revisions

Revision as of 16:33, 12 October 2012

#	Week of...	Notes and Links
Additions to this web site no longer count towards good deed points.
1	Sep 10	About This Class, Tuesday, Thursday
2	Sep 17	HW1, Tuesday, Thursday, HW1 Solutions
3	Sep 24	HW2, Tuesday, Class Photo, Thursday
4	Oct 1	HW3, Tuesday, Thursday
5	Oct 8	HW4, Tuesday, Thursday
6	Oct 15	Tuesday, Thursday
7	Oct 22	HW5, Tuesday, Term Test was on Thursday. HW5 Solutions
8	Oct 29	Why LinAlg?, HW6, Tuesday, Thursday, Nov 4 is the last day to drop this class
9	Nov 5	Tuesday, Thursday
10	Nov 12	Monday-Tuesday is UofT November break, HW7, Thursday
11	Nov 19	HW8, Tuesday,Thursday
12	Nov 26	HW9, Tuesday , Thursday
13	Dec 3	Tuesday UofT Fall Semester ends Wednesday
F	Dec 10	The Final Exam (time, place, style, office hours times)
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In this lecture, the professor concentrate on corollaries of basic and dimension.

TA Office Hours (Still pending!) @ 215 Huron St., 10th floor.

Peter - 11am - 1pm

Brandon 1pm - 3pm

Topic: Replacement Theorem

1/ If V has a finite basic β1, then any other basic β2 of V is also finite and |β1|=|β2|

2/ "dim V" makes sense

dim V = |β| if V has a finite basic β

Otherwise, dim V = $\infty \!\,$

ex: dim P(F)= $\infty \!\,$

@@ Line 12: / Line 12: @@
 == corollaries ==
+/ If V has a finite basic β1, then any other basic β2 of V is also finite and |β1|=|β2|
+/ "dim V" makes sense
+dim V =  |β| if V has a finite basic β
+Otherwise, dim V = <math>\infty \!\,</math>
+ex: dim P(F)= <math>\infty \!\,</math>
 == Lecture notes scanned by [[User:Oguzhancan|Oguzhancan]] ==