Exercise 6.1.1 Let V denote the set of ordered triples (x, y, z) and define addition in V as in R³. For each of the following definitions of scalar multiplication, decide whether V is a vector space. a. a(x, y, z) = (ax, y, az) b. a(x, y, z) = (ax, 0, az) c. a(x, y, z) = (0, 0, 0) d. a(x, y, z) = (2ax, 2ay, 2az)
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- QUESTION 4 Consider the Black-Scholes-Merton formula: c = SoN(d₁) - Ke-™TN (d₂) p = Ke-TN(-d₂) - SoN(-d₁) where, d₁ = and d₂ = In(So/K)+(r+²)T αντ In(So/K)+(r)T αντ =d₁ - o√T a. Discuss the meaning of N(d₂).Looking for steps on how to solve it using: y=p(1+r/n)^ntShow that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S1, S2, and S3, respectively, for the vectors in the set.) (0, 0) = S={(5, 2), (-1, 1), (4, 0)) Express the vector s₁ in the set as a linear combination of the vectors $2 and $3. 51= Need Help? Read It Watch It Submit Answer