(a) Determine the Lorentz transformation matrix giving position and time in frame S' from those in frame S for the case v = 0.5c. (b) If frame S" moves at 0.5c relative to frame S', the Lorentz transformation matrix is the same as the previous one. Find the product of the two matrices, which gives x" and t" from x and t, (c) To what single speed does the transformation correspond? Explain this result.
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