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Lecture 7A Questions

The questions below are due on Tuesday March 30, 2021; 08:00:00 AM.
 
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Consider the system described by the following difference equation:

y[n] = y[n-1] + x[n] + 3x[n-1]

(where x[\cdot] represents the system's input, and y[\cdot] represents its output)

Is this system linear?

Is this system time invariant?