Is this system linear time-invariant-nbsp if x0 12 for, Project Management

Is this system linear time-invariant-nbsp if x0 12 for

Note: This problem requires utilizing an appropriate computational package. Consider the simple DT difference equation

Assume
(a) Is this system linear? Time-invariant?

(b) If x[0] = 1/2, for what values of r is x[n] bounded?

(c) Using an appropriate computational package, compute and plot x[n] for different values of r, including r = k/4, k = 1, 2, ... , 15. Do the plots support your answer for (b)?

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