Define T: R3→R3 by T(v) = projuv, where u = (0, 1, 2).(a) Find A, the standard matrix for T.(b) Let S be the linear transformation represented by I − A. Show that S is of the form S(v) = projw1v + projw2v where w1 and w2 are fixed vectors in R3. (c) Show that the kernel of T is equal to the range of S.

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