12-240/Classnotes for Tuesday October 2: Difference between revisions

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== Subspace ==
== Subspace ==


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


Proof: First direction:
Proof: First direction:

Revision as of 10:28, 4 October 2012

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 non-empty subset W ⊂ V is a subspace iff is is closed under the operations of V

Proof: First direction:

Class Notes