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a Lorentz transformation is a mathematical way of relating physical quantities that describe objects between two different inertial reference frames while taking into account the special theory of relativity so a Lorentz transformation incorporates time dilation and length contraction of our quantities such as time and length so basically in this lecture were going to derive the Lorentz transformation equations that basically allow us to make these relations between two different inertial reference frames so lets begin by making the following assumption suppose that we have two inertial frames F and F prime so F consists of x-axis y-axis and z-axis and F prime consists of X prime axis y prime axis and Z prime axis now the time in frame F is given by T while the time in frame F prime is given by T prime now were assuming at time of T equals T prime equals zero seconds the two frames are superimposed they are found at the same exact position so now lets follow the following five ste