Question: please help 20. [0/1 Points] PREVIOUS ANSWERS HOLTLINALGZ 7.1 .002. ASK YOUR TEACHER Determine which properties of a vector space are met by the set
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20. [0/1 Points] PREVIOUS ANSWERS HOLTLINALGZ 7.1 .002. ASK YOUR TEACHER Determine which properties of a vector space are met by the set Q2 of polynomials with real coefficients that have degree equal to 2, together with the usual denition of addition and scalar multiplication for polynomials. (Select all that apply.) 3 Property 1: If v1 and v2 are in V, then so is v1 + v2. Property 2: If c is a real scalar and v is in V, then so is CV. Property 3: There exists a zero vector 0 in V such that o + v = v for all v in V. Property 4: Property 3 holds and for each v in Vthere exists an additive inverse vector v in V such that v + (v) = 0 for all v in V. Property 5(a): For all v1 and v2 in V, we have v1 + v2 = v2 + v1. Property 5(b): For all v1, v2, and v3 in V, we have (v1 + v2) + v3 = v1 + (v2 + v3). Property 5(c): For all v1 and v2 in Vand real scalars c1, we have c1("1 + v2) = C1V1 + 1V2' _ Property 5(d): For all v1 in Vand real scalars c1 and c2, we have (c1 + c2)v1 = clv1 + Cz"1' 7 Property 5(e): For all v1 in Vand real scalars c1 and c2, we have (c1c2)v1 = c1(c2v1). 7 Property 5(f): For all V1 in V, we have 1 - v1 = v1. none of these
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