The following function T : R³ → R³ is a linear transformation. (a) Find a matrix A € R³×³ so that T(x) = A☛ for all ☞ € R³. Then (b) find bases for ker(T) and ran(T) and (c) what are dim(ker(T)) and dim(ran(T))? T x + y + z (E)-+*+*] = x + y + 2z Y+z

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