Title of article
Sums of diagonalizable matrices Original Research Article
Author/Authors
J. D. Botha، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
23
From page
1
To page
23
Abstract
It is shown that a square matrix A over an arbitrary field image is a sum of two diagonalizable matrices, except when image, 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.
Keywords
Infinite field , Rational canonical form , Invariant polynomial , Prescribed ranks , Diagonalizable matrix , Matrix sums
Journal title
Linear Algebra and its Applications
Serial Year
2000
Journal title
Linear Algebra and its Applications
Record number
823040
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