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1. On the Jordan Canonical Form in 2×2 Matrices

Subjects
ベクトル, 行列, matrix, characteristic value, 対角行列, simultaneous differential equations, 連立微分方程式, ジョルダンの標準形, diagonal matrix, Jordan canonical form, characteristic polynomial, 固有値, 固有方程式, vector
Abstract

A simultaneous differential equations with constant coefficients can be rewritten by the vector and the matrix. Then, the unknown functions are derived by the standardization of the matrix. The 2×2 matrix whose characteristic values are distinct was discussed in the last paper. This paper deals with the 2×2 matrix whose characteristic polynomial has multiple root. For that purpose, Jordan canonical form is used.

Published
2002

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