For each of the following systems, determine whether they are static or dynamic linear or non-linear ii) v) time-invariant or time-varying causal or non-causal Stable or unstable. Hints: a. if you suspect the system is unstable, find an example of a bounded input signal that produces an unbounded output. b. If you suspect the system is stable, you can try to prove it by using the BIBO stability definition i.e. assume that if |x(n)| < Mx < , for all n, then for a stable system, show that: ly(n) < My < E.g. For a system: y(n)= x(n) - x(n-1) |y(n)] = |x(n) x(n 1)| |x(n)| + |x(n 1)| < Mx + Mx = 2Mx = My < 0 Therefore, the system is stable.