Every matrix is a linear combination of
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Vyacheslav Rabanovich
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Article
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2004
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Elsevier Science
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English
⚖ 173 KB
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