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.

[EX Q]: 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.
[EX A]: Science

[EX Q]: A speech of this ruler is recorded on the Lyon tablet, and Hadrian extended this rulers effort to drain the Fucine Lake. This ruler decreed that sick slaves left at the Temple of Aesculapius would be freed, and he upheld the rights of Egyptian Jews with his Letter to the Alexandrians. This ruler temporarily restored the autonomy of Judea, but reclaimed it as a province after the death of Herod Agrippa I. He used elephants to conquer Camulodunum, and this ruler pardoned the captured general Caratacus after sending Aulus Plautius to conquer Britain. The freedman Narcissus wielded power under this man and helped to expose the plot of his wife Messalina. He was poisoned by his fourth wife, Agrippina. For 10 points, name successor to Caligula, the dice-playing fourth Roman emperor.
[EX A]: History

[EX Q]: In one myth about him he is comforted by Thetis after being driven out of the land of Lycurgus of Thrace. Another tells of his kidnapping by pirates whom he turns into dolphins when they jump off the ship. He was cared for in his childhood by the nymphs of Nysa as well as his aunt Ino. He is often given as the father of Priapus and Deianira and his tutor was Silenus. Born from the thigh of Zeus after his mother, Semele, perished when she saw Zeus in his god-form, FTP, name this leader of the maenads and god of revelry and wine.
[EX A]:
Social Science