characteristic root

Math.1. a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space.2. a root of the characteristic equation of a given matrix. Also called characteristic value, eigenvalue, latent root, proper value.[195560]
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Universalium. 2010.
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characteristic root — noun : eigenvalue herein * * * Math. 1. a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space. 2. a root of the characteristic… … Useful english dictionary
characteristic root — noun Date: circa 1957 eigenvalue … New Collegiate Dictionary
characteristic root of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑eigenvalue of a square matrix • Hypernyms: ↑value … Useful english dictionary
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