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Article | REF: AF87 V1

Reduction of endomorphisms

Author: Rached MNEIMNÉ

Publication date: April 10, 1999

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12. The real case

12.1 General

Examination of the place occupied by real matrices in the partition of M(n, ℂ) into cabinets proves that only cabinets associated with real characteristic polynomials contain real matrices. The eigenvalues of such matrices are real or complex conjugates and for λ, a non-real eigenvalue, the algebraic multiplicities of λ and λ¯ are equal. Furthermore, for complex...

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