through the origin,” so… Show more Problem 3. Let the transformation T : R2 → R2 be the reflection of any point “through the origin,” so that T(v) = −v for all v ∈ R2. (1) Prove that T is a linear transformation and find its matrix; that is, find a matrix A such that T(v) = Av for all v ∈ R2. • Show less