Question: Consider the following sets. (i) All polynomials a0 + a1x + a2x2 in P2 such that a0 = 0. (ii) All vectors (a,b) in R2

Consider the following sets. (i) All polynomials a0 + a1x + a2x2 in P2 such that a0 = 0. (ii) All vectors (a,b) in R2 such that ab = 0. (iii) All matrices A in M22 such that A2 = I. Determine whether each of the above sets is closed under scalar multiplication or NOT closed under scalar multiplication

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