- #1
JamesGoh
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[SOLVED] vector spaces + proving of properties
Im aware in vector spaces that there are 3 properties associated with it
Note v is an element in a vector space, 0 is the additive identity in the vector space and c is a field element
1) 0.v = 0
2) c.0 = 0
3) (-c).v = c.(-.v) = -(c.v)
atm I am trying to prove 2), however I can only properly prove 2) if I use 1). As mathematical properties are meant to be unique, is my current solution considered as bad practice ?
Im aware in vector spaces that there are 3 properties associated with it
Note v is an element in a vector space, 0 is the additive identity in the vector space and c is a field element
1) 0.v = 0
2) c.0 = 0
3) (-c).v = c.(-.v) = -(c.v)
atm I am trying to prove 2), however I can only properly prove 2) if I use 1). As mathematical properties are meant to be unique, is my current solution considered as bad practice ?
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