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Which of the following sets are closed under scalar multiplication? (i) The set of all vectors in R 2of the form ( a , b

Which of the following sets are closed under scalar multiplication?

(i) The set of all vectors inR2of the form (a,b) wherea 5b= 0.

(ii) The set of all 22 matrices whose trace is equal to 4.

(iii) The set of all polynomials inP2of the forma0+a1x+a2x2where the producta0a1a2 0.

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

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