How to z-transform these equations into matlab using symbolic math toolbox?

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How to input the equations and perform z-transform using the symbolic math toolbox?

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Walter Roberson
Walter Roberson 2018-9-21
syms n z
ztrans( (1/sym(3))^n*dirac(n-2)+(sym(9)/10)^(n-3)*dirac(n), n, z)
Unfortunately there appears to be a weakness in not knowing that the ztrans of dirac(n) is 1 .
Generally speaking it seems to be weak on many of the items listed in https://en.wikipedia.org/wiki/Z-transform#Table_of_common_Z-transform_pairs

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