1. The problem statement, all variables and given/known data Determine the finite dimensionality of the following system: y[n] = nx[n] 2. Relevant equations y[n]= f(y[n−1], y[n−2],..., y[n−N],x[n],x[n−1],..., x[n−M],n) Where N is how many dimensions the system has. 3. The attempt at a solution I understand that the following system would be 1 dimensional. y[n]=y[n-1]+nx[n] However, in the case of my question the output at time n is only a function of the input and not a function of the input and output at some shifted time. Does this mean that the system in question is infinite dimensional? Thanks.