On the Roots of Matrices

W. H. Metzler · American Journal of Mathematics · 1892

?1. Representation of a matrix. I. Latent roots * 0. (a). All roots distinct. 1. Difference equation and its solution. 2. Powers of o. 3. AO, Bo, etc., idempotent and mutually nilfactorial. 4. Rational function of so. 5. Identical equation to ~o. 6. Sylvester's Formula. (b). Sets of equal latent roots. 7. Difference equation and its solution. 8. Powers of o. 9. Rational function of eo. 10. Vacuity and nullity. 11. Identical equation.

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