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**jonbrutal** Determine if each of the following systems is (i) memoryless (ii) invertible, (iii)

linear, (iv) time-invariant, (v) causal, and (iv) BIBO-Stable

a)y[n]=x[2n]

Ans:Invertible,Time Invariant,BIBO stable, Linear

b) y[n]=$\displaystyle \sum_{k=-infinty}^{n}x[k]$

Ans: Time Invariant,Linear and BIBO stable

c) y[n]=$\displaystyle \sum_{k=n-2}^{n+2} x[k]$

Ans:TIme Invariant,Linear and BIBO stable.

I got the answers I think but I dont know how to explain. Can someone help for the explanation.

Thank you & regards