Detailed Instructions: 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.
Q: Weyls theorem can be used to show that the Dirchlet type of these are asymptotic, providing an answer to the Mark Kac-proposed question can one hear the shape of a drumIn quantum mechanics, ladder operators alter these quantities by one, and they are taken to be 1 or -1 for the permutation operator. Always real for a Hermitian matrix, they are the roots of the characteristic polynomial, and for diagonal matrices, they are given by the entries of the diagonal. For 10 points, name these scalars that, when multiplying a matrix, are equal to the product of a vector with that matrix and which are usually denoted by the Greek letter lambda.
A:
Science