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Questions on two-port network

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promach

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For z-parameter model:

a) How to derive the two equations in the screenshot below which are retrieved from https://en.wikipedia.org/wiki/Impedance_parameters#Impedance_relations ?

z_parameter_impedance_relations.png


b) Why is output impedance, Zout computed with input node shorted to ground ?
 
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For Y-parameter model:

a) As shown below , why "Though allowing simpler algebra, the Y model does not provide intuitive results." ?

Screenshot from 2017-09-26 17-52-41.png
 

For Y-parameter model:

b) As in **broken link removed**

, why " y21 =gm - yμ " ?

Screenshot from 2017-09-26 23-58-00.png
 

why is y21 not depending on yπ (parallel with yμ) ?
 

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