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An echo system is defined by the input-output relationship y(1) =x(1) + 0.6x(1-3) a. Determine whether the system is linear (show your work). b. Is

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An echo system is defined by the input-output relationship y(1) =x(1) + 0.6x(1-3) a. Determine whether the system is linear (show your work). b. Is the system memoryless? Why? c. Is the system causal? Why? d. Is the system BIBO stable? Why? e. Is the system time-invariant? Clearly show your work. f. Determine and sketch the output, if x(t) = u(t - 1) - u(t - 3) g. What is the impulse response of the system

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