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LTI Systems Quiz 1

Choose the statements that are always true for the situation described in the question. Don't make extra assumptions.
Question 1: The output of a linear static system to a zero input is zero.
  1. Yes
    Correct!
  2. No
    Incorrect.

Question 2: The output of a linear time-invariant system to a zero input is a zero signal.
  1. Yes
    Incorrect.
  2. No
    Correct! The output is a sum of a response due to the input and a response due to initial conditions. The latter may be nonzero.

Question 3: Let $\mathcal{B}$ be a static linear autonomous system and let $y\in\mathcal{B}$.
  1. $y$ is zero
    Correct!
  2. $y$ is a linear function.
    Incorrect.
  3. $y$ is an exponential function.
    Incorrect.

Question 4: Let $\mathcal{B}$ be a first order linear autonomous system and let $y\in\mathcal{B}$.
  1. $y$ is zero
    Incorrect.
  2. $y$ is a linear function.
    Incorrect.
  3. $y$ is an exponential function.
    Correct!

Question 5: How did you do and what do you think about this quiz?