We can view y(n)=-\(\sum_{k=1}^N a_k y(n-k)+\sum_{k=0}^N b_k x(n-k)\) as the computational procedure (an algorithm) for determining the output sequence y(n) of the system from the input sequence x(n).
(a) True
(b) False
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This is a very interesting question from Structures for Realization of Discrete Time Systems topic in portion Discrete Time Systems Implementation of Digital Signal Processing