6.2. Inverse of the matrix V Consider the operator R defined in eqn. (6.1.31). Using the property R2 = I, prove that the inverse of the operator A = (2i sinh2L)n I+(−2i sinh2K)nR is given by A−1 = 1

(2sinh2K)2n −(2sinh2L)2n (2i sinh2L)n I−(−2i sinh2L)nR.

Use this expression and the functional equation (6.1.32) to determine the inverse of the operator V(K,L).