Is the Discrete Time System y[n] = x[n]^2 Time Invariant?

[erece]

the discrete time system defined by y[n]= x[n] ^ 2
Is it time varying ?
I proceeded as follows
x[n] → x[n]^2
x[n+a] → x[n+a]^2
so y[n+a] = x[n+a]^2
So according to me it is time invariant
Am i right ?

 

[blazeatron]

ya ... it is a non-linear time-invariant system