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In: Advanced Math

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

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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