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We compute the equations and multidegrees of the biprojective variety thatparametrizes pairs of symmetric matrices that are inverse to each other. As aconsequence of our work, we provide an alternative proof for a result ofManivel, Michalek, Monin, Seynnaeve and Vodi\v{c}ka that settles a previousconjecture of Sturmfels and Uhler regarding the polynomiality of maximumlikelihood degree.

Equations and multidegrees for inverse symmetric matrix pairs