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Show that the spacetime interval is invariant under the lorentz transfermations

Show that the spacetime interval (delta s) is invariant under the lorentz transfermations:

i.e. show that (c (delta t))^2 - (delta x)^s = (c(delta t'))^2 - (delta x')^2

delta s = s1 - s2

delta t = t1 - t2

delta x = x1 - x2

c= speed of light in a vacuum ; 's indicate a different system

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It shows that the space time interval (delta s) is invariant under the lorentz transfermations. The solution is detailed and has a '5/5' rating.

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