Representing Matrices over Fields as Square-Zero Matrices and Diagonal Matrices
https://doi.org/10.22405/2226-8383-2020-21-3-84-88
Abstract
We prove that any square matrix over an arbitrary infinite field is a sum of a square-zero
matrix and a diagonalizable matrix. This result somewhat contrasts recent theorem due to
Breaz, published in Linear Algebra & Appl. (2018).
About the Author
Peter Danchev
Institute of Mathematics and Informatics, Bulgarian
Academy of Sciences
Bulgaria
Doctor of Mathematicks
Bulgaria
Doctor of Mathematicks
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Review
For citations:
Danchev P. Representing Matrices over Fields as Square-Zero Matrices and Diagonal Matrices. Chebyshevskii Sbornik. 2020;21(3):84-88. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-3-84-88
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