SOLUTION: Determine if the set of all tripled of real numbers of the form (o,y,z) where y=z with standard operations on R3 is a vector space.

SOLUTION: Determine if the set of all tripled of real numbers of the form (o,y,z) where y=z with standard operations on R3 is a vector space.

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Question 897740: Determine if the set of all tripled of real numbers of the form (o,y,z) where y=z with standard operations on R3 is a vector space.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
(0,a,a)
Yes, it is a vector space.
(0,0,0) is a member.
(0,-a,-a) is a member.
Associativity, commutativity, and distributivity of addition apply.
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