2014•Journal of Chongqing Technology and Business UniversityRequires access

The Solution to Inverse Matrix of Matrix Polynomial by Skillfully Using Polynomial Division

Wan B

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Abstract

By using polynomial division skill,this paper gives a new method to solve inverse matrix of matrix polynomial,obtains two kinds of the formula to solve the polynomial matrices,applies the related conclusions by taking examples,makes these two kinds of the solutions to the inverse matrices of polynomial matrices simpler and simple to solve the similar problems,meanwhile,uses polynomial division skill to receive two conclusions on the inverse matrix related to polynomial matrices in reference [3],which is of reference significance to the solution to inverse matrices.

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What this paper is about

By using polynomial division skill,this paper gives a new method to solve inverse matrix of matrix polynomial,obtains two kinds of the formula to solve the polynomial matrices,applies the related conclusions by taking examples,makes these two kinds of the solutions to the inverse matrices of polynomial matrices simpler and simple to solve the similar problems,meanwhile,uses polynomial division skill to receive two conclusions on the inverse matrix related to polynomial matrices in reference [3],which is of reference significance to the solution to inverse matrices.

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Available abstract

By using polynomial division skill,this paper gives a new method to solve inverse matrix of matrix polynomial,obtains two kinds of the formula to solve the polynomial matrices,applies the related conclusions by taking examples,makes these two kinds of the solutions to the inverse matrices of polynomial matrices simpler and simple to solve the similar problems,meanwhile,uses polynomial division skill to receive two conclusions on the inverse matrix related to polynomial matrices in reference [3],which is of reference significance to the solution to inverse matrices.

Key concepts: Polynomial matrix, Matrix polynomial, Inverse, Mathematics, Polynomial, Companion matrix, Matrix (chemical analysis), Division (mathematics)

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