16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 2.1.5
Vector Spaces
Mathematics — Linear Algebra · vector-space-axioms-check
Problem
On Rn, define two operations
α⊕β=α−βc⋅α=−cα.
The operations on the right are the usual ones. Which of the axioms for a vector space are satisfied by (Rn,⊕,⋅)?