For each of the following systems, determine whether or not the system is (1) linear, (2) time-invariant, and (3) causal:
(a) y[n] = x[n]cos(0.2πn)
(b) y[n] = x[n] − x[n − 1]
(c) y[n] = |x[n]|
(d) y[n] = Ax[n] + B, where A and B are nonzero constants.
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