(a) Write out the matrix that describes a Galilean transformation (Eq. 12.12).
(b) Write out the matrix describing a Lorentz transformation along the y axis.
(c) Find the matrix describing a Lorentz transformation with velocity v along the x axis followed by a Lorentz transformation with velocity along the y axis. Does it matter in what order the transformations are carried out?
Equation 12.12
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