If the system function H(z) of an LTI system has a pole–zero diagram as shown in Figure...

If the system function H(z) of an LTI system has a pole–zero diagram as shown in Figure P5.10 and the system is causal, can the inverse system H_i(z), where H(z)H_i(z) = 1, be both causal and stable? Clearly justify your answer.