Question: (a) Prove that if v is a fixed vector in a real inner product space V, then the mapping T: V R defined by

(a) Prove that if v is a fixed vector in a real

(a) Prove that if v is a fixed vector in a real inner product space V, then the mapping T: V R defined by T(x)= (x, v) is a linear transformation. (b) Let V = R have the Eucelidean inner product, and let v= (1, 0, 2). Compute T(1, I, 1). %3D

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