Consider an arbitrary linear system with input x[n] and output y[n]. Show that if x[n]=0 for all n, then y[n] must also be zero for all n. 2.22. For each of the pairs of sequences in Figure P2.22−1, use discrete convolution to find the response to the input x[n] of the linear time-invariant system with impulse response h[n]. (a) (b) (4) Flgure P2.22-1