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2021•Unpublished venueRequires access

Parametric Linear Algebra in Maple: Reduced Row Echelon Form

Siyuan Deng, Greg Reid, David J. Jeffrey

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Abstract

Parametric Linear Algebra refers to the analysis of matrices containing elements which are symbolic. Properties such as the rank of the matrix can change depending upon possible values later assigned to the symbols. This is an example of the specialization problem. We discuss approaches to this problem and describe a package in Maple that is being developed to handle symbolic coefficients.

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What this paper is about

Parametric Linear Algebra refers to the analysis of matrices containing elements which are symbolic. Properties such as the rank of the matrix can change depending upon possible values later assigned to the symbols. This is an example of the specialization problem. We discuss approaches to this problem and describe a package in Maple that is being developed to handle symbolic coefficients.

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Available abstract

Parametric Linear Algebra refers to the analysis of matrices containing elements which are symbolic. Properties such as the rank of the matrix can change depending upon possible values later assigned to the symbols. This is an example of the specialization problem. We discuss approaches to this problem and describe a package in Maple that is being developed to handle symbolic coefficients.

Key concepts: Maple, Symbolic computation, Rank (graph theory), Algebra over a field, Matrix algebra, Parametric statistics, Linear algebra, Matrix (chemical analysis)

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