Using MapleTM or MathematicaTM calculate the Lorentz transformation matrix in Eq. (7.17), then without assuming that the velocities in the frame S′ are small, find the Lorentz boost from S to S″, (generalization of Eq. (7.20)) and the rotation (generalization of Eq. (7.21)). Show that your results reduce to Eqs. (7.20) and (7.21).
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