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.

A toy nutcracker is said to be represented by the section titled Gnomus. French women quarrelling in the marketplace is the basis of its section The Market at Limoges. Promenades connect the various sections of this work, whose most famous orchestration was arranged by Ravel. Based on the creations of Victor Hartmann, it contains such sections as Baba Yaga and its last, The Great Gate of Kiev. For 10 points, name this 1874 suite for piano, written by Modest Mussorgsky, which meant to portray one examining various works of art.
Fine Arts

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.
Science

One indigenous people of this country established a turquoise trade with a capital at Tollan. An earlier civilization in this country constructed the Temple of the Dancers during the Formative Period. A different archaeological site in this country has buildings that exemplify the slope-and-panel style and contains large buildings connected by the Avenue of the Dead. Yet another ancient city in this modern-day country contains numerous reclining figures called (*) chacmools. One of its largest ancient cities contained the massive Pyramids of the Sun and Moon, and this country is also home to Monte Alban. This country is where one can find archaeological sites like Teotihuacan and Chichen Itza. For 10 points, name this modern-day country once home to Zapotec and Aztec civilizations.

Social Science