Geodesic
Representing matrices over fields as square-zero matrices and diagonal matrices
Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 84-88.

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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).
Keywords: matrices, rational form, diagonal form, nilpotents. 
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P. Danchev. Representing matrices over fields as square-zero matrices and diagonal matrices. Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 84-88. http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a9/

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