The Inverse Problems for the Adoint Matrices of an Idempotent and a Nilpotent Matrices
Qian Ze-ping
Abstract
Qian Ze-ping
Abstract
The inverse problems for the adjoint matrices of an idempotent and a nilpotent matrices are solved;the formula of Sherman-Morrison is extended to find its adjoint matrix;a short-cut method for finding a kind of adjoint pull back matrix is given.
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The inverse problems for the adjoint matrices of an idempotent and a nilpotent matrices are solved;the formula of Sherman-Morrison is extended to find its adjoint matrix;a short-cut method for finding a kind of adjoint pull back matrix is given.
Key concepts: Mathematics, Idempotent matrix, Idempotence, Nilpotent, Inverse, Nilpotent matrix, Involutory matrix, Matrix (chemical analysis)