Consider finding the inverse  Z-transform of

(a) MATLAB does the partial fraction expansion as:

while we do it in the following form:

Show that the two partial fraction expansions give the same result.

(b) Obtain x[n]analytically using the two expansions and verify your  answer with MATLAB.

2z-1 X(z) = |z| > 2 (1 – z)(1 – 2z-)² B X(z) = 1- 2z (1 – 2z1)?