part a

This system can not be time invariant.

Pf:

Delay then system yields the constant $ (K+1+n_o)^2 $, but the system then delay yields a constant $ (K+1)^2 $

part b

Since $ X[n]=\delta[n] $ yields $ Y[n]=\delta[n-1] $, we can replace the unit impulses with unit steps because the system is linear,

so $ X[n]=u[n] $ yields $ Y[n]=u[n-1] $

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Followed her dream after having raised her family.

Ruth Enoch, PhD Mathematics