Question: em 3 (1 point) ngs Let V be the set of vectors in R. with the following definition of addition and scalar multiplication: Problems Addition:

em 3 (1 point) ngs Let V be the set of vectors in R." with the following definition of addition and scalar multiplication: Problems Addition: 0 [x2 + yz] Scalar Multiplication: a azz Determine which of the Vector Space Axioms are satisfied. 3 Al. x y = y @ x for any x and y in V ? A2. (x @ y) ez = x0 (y @ z) for any x, y and z in V 1? A3. There exists an element Ov in V such that x @ Ov = x for each x E V ? A4. For each x E V. there exists an element - x in V such that x @ (-x) = Ov ? A5. a (xBy) = (ax) (a y) for each scalar o and any x and y V ? A6. (a + B) Ox = (aOx) @(Box) for any scalars o and B and any x E V ? + A7. (aB) Ox = aO (BOx) for any scalars o and B and any x E V ? A8. 1 0 x = x for all x E V

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