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Please solve this specific question and don’t copy and paste other solution in answers, I want new solution
= We consider a manifold M whose line element in the coordinates (c',...,x4) (u, v, y, z) is given by ds? = -dudv + (y2 + z2)du? + dy? + dz?. (1) a) Compute the Jacobian matrices ) (36) = (8")(5-) = Com). ді ara b) Given the tensor T of rank 2 whose matrix representation in the old coordinates is given by 0 0 y 0 u 00 (T") 0 0 1 0 w 0 0 0 compute its components with respect to the new coordinate system.