12-240/Classnotes for Tuesday October 2

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The "vitamins" slide we viewed today is here.

Today, the professor introduces more about subspace, linear combination, and related subjects.


Subspace

Remind about the theorem of subspace: a subset W ⊂ V is a subspace iff is is closed under the operations of V

Proof: First direction:

Class Notes

Some classnotes here were removed because the file names did not start with "12-240", as required. Please re-upload! Note also that it is much better if classnotes files are dated, to prevent conflict with other dates. "12-240-Oct-2-Page-1.jpg", for example, would be a great file name. Drorbn 16:59, 2 October 2012 (EDT)