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A Lorentz transformation is a mathematical way of relating physical quantities between two different inertial reference frames, considering time dilation and length contraction. In this lecture, we will derive the Lorentz transformation equations to relate quantities such as time and length between frames F and F prime. Frame F has x, y, and z axes, while frame F prime has X prime, Y prime, and Z prime axes. Time in F is T, time in F prime is T prime. Assuming both frames are superimposed at T equals T prime equals zero seconds, we will follow five steps to derive the transformation equations.