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On nonsingularity of combinations of three group invertible matrices and three tripotent matrices

✍ Scribed by Benítez, Julio; Sarduvan, Murat; Ülker, Sedat; Özdemir, Halim


Book ID
118160257
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
221 KB
Volume
61
Category
Article
ISSN
0308-1087

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On sums of three square-zero matrices
✍ K. Takahashi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 98 KB

Wang and Wu characterized matrices which are sums of two square-zero matrices, and proved that every matrix with trace-zero is a sum of four square-zero matrices. Moreover, they gave necessary or sufficient conditions for a matrix to be a sum of three square-zero matrices. In particular, they proved