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Products of diagonalizable matrices

✍ Scribed by J.D. Botha

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
553 KB
Volume
273
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let 0: denote a field such that char(F) ~ 2. It is shown that every square matrix over 0: is expressible as a product of two diagonalizable matrices, except when 0: = GF(3), in which case three diagonalizable matrices are needed in general. Partial results for the case where char(F) = 2 is also presented. Finally, the extent to which the nullities of these factors can be prescribed is also investigated.

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