Let u and v be vectors in R". It can be shown that the set P of all points in the parallelogram determined by u and v has the form au + bv, for 0sa<' Osbs1. Let T :R^→R™ be a linear transformation. Explain why the image of a point in P under the transformation T lies in the parallelogram determined by T(u) and T(v). If T is a linear transformation, then which of the following are true? Select all that apply. O A. T(c+u)= c+ T(u) for all scalars c and all u in the domain of T O B. T(cu) = cT(u) for all scalars c and all u in the domain ofT O C. T(cu + dv) = cT(u) + dT(v) for all u, v in the domain of T and all scalars c, d O D. T(0) = 0 O E. T(u+v)= T(u) + T(v) for all u, v in the domain of T O F. T(uv) =T(u)T(v) for all u, v in the domain of T

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