- #1
vampyric
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Homework Statement
Hi there, I'm very new to vector spaces and just can't seem to figure this one problem out.
The question ask's to determine if (V,+,*) is a vector space.
I am given
V=R^2
(x,y)+(x',y')=(x+x'+1,y+y'+1)
for addition on V
and
λ*(x,y)=(λx+λ-1,λy+y-1) (λ∈ℝ)
for scalar multiplication
The Attempt at a Solution
I think I can work through the axioms simple enough but I cannot figure out where the +1's and -1's have come from.
I have looked at https://www.physicsforums.com/showthread.php?t=388909
and it seems to explain everything I need to know except where these mysterious [itex]\pm[/itex]1's have come from.
Please haallp!
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