Singular matrices that are products of two idempotents or products of two nilpotents

Authors :: Călugăreanu Grigore
Source :: Special Matrices, Vol 10, Iss 1, Pp 47-55 (2021)
Publication Year :: 2021
Publisher :: De Gruyter, 2021.
Abstract: Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.

Subjects :: idempotent matrix
nilpotent matrix
quadratic diophantine equation
2 × 2 matrix
15b33
15b99
11d09
11t99
Mathematics
QA1-939

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