lecture2printablepdf

# lecture2printablepdf - … is defined to be the value that...

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Recall that a vector space over a field F:

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Axiom I: Axiom II: Axiom III: Axiom IV: Axiom V: Axiom VI: Axiom VII: Axiom VIII:

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Rows almost always go in the first position. Columns go in the second position. Of course, we could work with different fields. E.g.
Example of vector addition: Example of scalar multiplication:

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The value that the function f+g takes at some element s…

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Unformatted text preview: … is defined to be the value that f takes at s, plus the value that g takes at s. Axiom I: Axiom II: Axiom III: Axiom I: Axiom II: Axiom III: Axiom IV: Axiom I: Axiom II: Axiom III: Axiom IV: Axiom V: Axiom VI: Axiom VII: Axiom VIII: Is this obvious? Axiom I: Axiom II: Axiom III: Axiom IV: Axiom V: Axiom VI: Axiom VII: Axiom VIII:...
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