2006College MathematicsRequires access

The Inverse Problems for the Adoint Matrices of an Idempotent and a Nilpotent Matrices

Qian Ze-ping

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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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What this paper is about

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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Available 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.

Key concepts: Mathematics, Idempotent matrix, Idempotence, Nilpotent, Inverse, Nilpotent matrix, Involutory matrix, Matrix (chemical analysis)

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