MAT-2320: The 10 Vector Axioms
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closure under addition
u + v ∈ R
commutative property of addition
u + v = v + u
associative property of addition
(u + v) + w = w + (v + w)
additive identify property
u + 0 = u
additive inverse property
u + (-u) = 0
closure under scalar multiplication
cu ∈ R
^{n}
associative property of multiplication
c(du) = (cd)u
distributive property of multiplication 1
(c + d)u = cu + du
distributive property of multiplication 2
c(u + v) = cu + cv
multiplicative identify property
1*u = u
Card Set Information
Author:
UndependableAids
ID:
304749
Filename:
MAT-2320: The 10 Vector Axioms
Updated:
2015-07-03 17:24:21
Tags:
Vector Linear Algebra scalar additive axioms
Folders:
MAT-2320
Description:
Used for studying the 10 vector axioms in order to identify if the vector is considered a vector space.
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