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Let V be the set of vectors in R with the following definition of addition and scalar multiplication: 0 Addition: [I2+Y/2] 3/2 = Scalar

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Let V be the set of vectors in R with the following definition of addition and scalar multiplication: 0 Addition: [I2+Y/2] 3/2 = Scalar Multiplication: Determine which of the Vector Space Axioms are satisfied. A1. x+y=yx for any x and y in V ? V A2. (x + y) +z = x + (yz) for any x, y and z in V ? A3. There exists an element 0 in V such that x 0 = x for each x V ? A4. For each x V, there exists an element -x in V such that x + (-x) = 0 ? A5. a (x + y) = (aox) (ay) for each scalar & and any x and y V ? A6. (a + b) x = (a ox) (Box) for any scalars a and 3 and any x V ? V A7. (af) x = a (Box) for any scalars a and 3 and any x V ? A8. 10x = x for all x V ?

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