Notation: In the following problems, x[n]={a,b,c} means that x[-1]=a, x[0]=b, x[1]=c and x[n]=0 otherwise. Problem 1 Consider a linear and time-invariant system S that yields the following input-output pairs: S x1[n]={1,3,2} y1[n]={1,1,2} S x2[n]={1,1,1} y2[n]={-1,2,1} Do we have enough information to know the response of y3[n] of the system to the input x3[n]={1,1,0,-2}? If so, find y3[n]. If not, explain why. Hint: Show that x3[n] can be expressed as some linear combination of shifted versions of x1[n] and x2[n]