Step 1: Understanding linear vs. non-linear operation.
A circuit performs a non-linear operation if the output is not a linear function of the input (e.g., output \( \propto \log({input}) \), rectified input, or exhibits hysteresis).
Step 2: Analyze each option.
(A) Instrumentation amplifier: Performs linear amplification of differential signals. So, it's a linear circuit.
(B) Schmitt trigger: A comparator with hysteresis — output changes states at different input voltages depending on the direction of input. This is a non-linear behavior.
(C) Logarithmic amplifier: Produces output proportional to the logarithm of the input. Clearly non-linear.
(D) Precision rectifier: Rectifies the input signal — allowing only positive (or negative) portions to pass through — a non-linear function.