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Which of the following sets are closed under addition? (i) The set of all vectors in...

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Advance Math

Which of the following sets are closed under addition?

(i) The set of all vectors in R2 of the form (a,?b) where b =a2.
(ii) The set of all 3?×?3 matrices that have the vector [3 -1-1]T as an eigenvector.
(iii) The set of all polynomials in P2 of the form a0 + a1?x +a2?x2 where a0 = a2.
(A) (i) only (B) all of them (C) (ii) only (D) (i) and (iii)only (E) (iii) only (F) none of them (G) (ii) and (iii) only (H)(i) and (ii) only

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