instruction:
In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
question:
One king of this name and number married Joan of Navarre and fended off the "Epiphany Uprising. " Another king by this name and number had Maximilian de Bethune, Duke de Sully negotiate the Peace of Savoy, but was assassinated by Francois Ravalliac. Yet another ruler of this name and number dealt with the rise of anti-king Rudolf of Swabia, and had installed Clement III as pope, though he had earlier traveled to Canossa to reconcile with Pope Gregory VII. For 10 points, identify this name and number shared by the Holy Roman Emperor involved in the Investiture controversy as well as the Bourbon king of Navarre who declared that "Paris is worth a Mass. "
answer:
History

question:
Laplaces rule may be used to compute a version of this quantity for its namesake tensor in order to prove the Alon-Tarsi conjecture for Latin squares of even order; that proof uses Cayleys version of this operator. The Cauchy-Binet rule generalizes it to commutative rings, while Leibnizs formula uses permutations of elements to compute it. Setting to zero the result of this operation on lambda I minus A allows us to calculate As eigenvalues. Cramers rule uses ratios of these to solve systems of linear equations. For ten points, name this quantity that is a d minus c b for a 2 by 2 matrix a b c d.
answer:
Science

question:
After his first opera was well received, he was offered a contract to compose three operas at eight-month intervals. He turned out the first of the three, the poorly received King for a Day, during a period in which he lost both of his children and then his wife. After a time of depression, he wrote his first major success, which included the "Chorus of the Hebrew Slaves. " FTP, identify this composer of Nabucco, The Force of Destiny, and Aida.
answer:
Fine Arts