Amplitudes or probability amplitudes are the complex coefficients of the linear combination of states which represent other quantum physical states. The amplitude of a wave can be interpreted as a "measure" of the height of the wave. There are different ways to measure it.
AFAIK, quantum mechanics can be formulated from a linear algebra or "wave" perspective.
Hence, the consequent questions of a person who knows almost nothing about quantum mechanics and, in general, physics are the following.
Is there any relationship between probability amplitudes and amplitudes of a wave? If yes, how exactly are these concepts related in the context of quantum mechanics?