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The document discusses the conditions under which a square matrix can be expressed as a sum of diagonalizable matrices, establishing that any matrix over an arbitrary field can be represented as a sum of two diagonalizable matrices, except for the case of GF(2), where three are required. It also explores the ability to prescribe the ranks of these summands, providing necessary and sufficient conditions for infinite fields. The findings are supported by various lemmas and theorems that detail the structure o

Author

PhamDuy Vinh

Language

EN