Find the inverse z-transform of each E(z) below by the four methods given in the text. Compare the values of e(z) , for k = 0, 1, 2, and 3, obtained by the four methods.

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(a) E(z) = 0.5z (2-1)(z-0.6) (c) E () = (b) E (2) = 0.5(z+1) (2-1)(z-0.6) (e) Use MATLAB to verify the partial-fraction expansions. (d) 0.5 (z - 1)(z-0.6) E(z) = z(z - 0.7) (z-1)(z-0.6)