In Variant Factors and Integer Sequences

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Authors

DOI:

https://doi.org/10.18311/jims/1924/17644

Abstract

The theory of characteristic (or 'latent') roots of a matrix is perfect smooth-sailing when they are all distinct. But when a characteristic root a is repeated a certain number of times-say r times, then a little reflection will suffice to show that the properties of the matrix in relation to the characteristic root a are not completely determined by a knowledge of the number r alone.