Answer to Question #62960 in Math for aftab

Question

consider SO(1,1) having only one free parametrer . how it would act on a vector of co-ordinate differentials dxµ=[■(cdt/dx)] where µ=0,1 .µ is in superscript.
a) construct a matrix representing the one type of transformation in this group. verify explicitly that satisfy the condition defining SO(1,1)
b) construct the dual vector dxµ . (µ in subsript)
c) seperately transform the vector and dual vector i.e determine dxµ(prime sign on µ is there), then confirm that it is invariant