(v0 = v subscript 0)
Define a new addition on V by: u+v = u+v+v0
Define a new scalar mult. on V by: c*v = c*v+(c-1)*v0
Show that V with + and * as its operations is a vector space by proving that all 10 axioms are satisfied and explain why this new vector is or is not a subspace of the original vector space.
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