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Sums of diagonalizable matrices

✍ Scribed by J.D. Botha

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 150 KB
Volume: 315
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00280-3

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✦ Synopsis

It is shown that a square matrix A over an arbitrary field F is a sum of two diagonalizable matrices, except when F = GF(2), in which case A is a sum of three diagonalizable matrices. The extent to which the ranks of the summands can be prescribed over an infinite field is also investigated, and necessary and sufficient conditions are presented.

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