(A) (i) and (ii) only (B) all of them (C) (ii) only (D) (iii) only (E) (i) and (

Question

(A) (i) and (ii) only (B) all of them (C) (ii) only (D) (iii) only (E) (i) and (iii) only (F) none of them (G) (i) only (H) (ii) and (iii) only

Which of the following sets are closed under scalar multiplication?
(i) The set of all vectors in R^2 of the form (a,b) where a 6b = 0. (ii) The set of all 2×2 matrices whose trace is equal to 1. (iii) The set of all polynomials in P2 of the form a0 + a1x + a2x^2 where the product a0a1a2 = 0.

(A) (i) and (ii) only (B) all of them (C) (ii) only (D) (iii) only (E) (i) and (iii) only (F) none of them (G) (i) only (H) (ii) and (iii) only

Explanation / Answer

E) i and iii

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