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Idempotency of linear combinations of three idempotent matrices, two of which are commuting

✍ Scribed by Oskar Maria Baksalary; Julio Benı´tez

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
263 KB
Volume
424
Category
Article
ISSN
0024-3795

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It is shown that every n × n matrix over a field of characteristic zero is a linear combination of three idempotent matrices. It is proved that both 2 × 2 matrices and complex 3 × 3 matrices are linear combinations of two idempotents. Also we present 3 × 3 and 4 × 4 matrices that are not linear comb