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WordNet-Online
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Definitions from the WebEigenvalueDefinition: In linear algebra, an eigenvalue of a square matrix A is a scalar λ that satisfies the equation Av = λv, where v is a non-zero vector called the eigenvector of A. Examples:Noun Sense 1: In mathematics, eigenvalues play a crucial role in various fields such as differential equations, quantum mechanics, and computer graphics. Sample Sentence: "The matrix A has three distinct eigenvalues, which can be calculated by solving the characteristic equation." Noun Sense 2: In physics, eigenvalues are used to describe the energy states of particles and determine the behavior of quantum systems. Sample Sentence: "The eigenvalues of the Hamiltonian operator represent the possible energy levels of the electron in an atom." Related Products: | ||||
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