Question: Let u 2 , and let T : R* - R be the transformation defined by T(a ) = E X u. (a) Prove that

Let u 2 , and let T : R* - R be the transformation defined by T(a ) = E X u. (a) Prove that T is linear. (b) Find the standard matrix for T (c) Without row reducing or performing any calculations, what is the dimension of the null space of the matrix you found in part (b). Briefly justify

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