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the problem that I am dealing with is to check whether y[n]=T{x[n]}=x[kn] time invariant or not?

My solution is I said z(n)=T{x[n-A]}=x[k(n-A)]

and y[n-A]=x[k(n-A)]

and because y[n-A]=z(n) so it is time invariant

but solution is saying that it is time varying because z(n)=x[kn-A] meaning that A is not multiplied by n so y[n-A] is not equal to z(n).

Can anyone explain to me why this is the case?

Thanks

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Check to see whether it is time invariant or not?

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