These quantities are distributed evenly within a semicircle for random symmetric systems according to the Wigner surmise. For non-negative systems, the existence of a unique one of these quantities with the largest magnitude is guaranteed by the Perron-Frobenius theorem. The asymptotic behavior of these quantities for the Laplace-Beltrami operator is described by Weyl’s law. If a (*) matrix is diagonalizable, there is a basis where its entries are all zeros except on the diagonal, which takes these quantities. The set of all of these quantities is the spectrum. These quantities are all real for a self-adjoin matrix, and it is usually denoted by a lowercase lambda. The solutions of the characteristic polynomial, for 10 points, identify these values that are the scale of its corresponding eigenvectors. ■END■
ANSWER: eigenvalues
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