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单词 latent root
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latent root
latent root n. Mathematics a quantity which, when subtracted from each entry in the diagonal of a square matrix, makes the determinant (determinant n. 3) of the resulting matrix equal to zero; = eigenvalue n.
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the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > operation or result of
transposition1858
latent root1883
involutant1890
character1931
commutator1935
trace1938
1883 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. 16 267 It will be convenient to introduce here a notion.., viz. that of the latent roots of a matrix.
1958 R. V. Andree Sel. Mod. Abstr. Algebra ix. 195 In quantum mechanics and elsewhere, the terms latent roots, proper value, eigenvalue, and eigenwerte are often used in place of characteristic root.
2006 D. Child Essent. Factor Anal. (ed. 3) iii. 60 Starting at the first latent root the curve falls steeply.
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