约当标准型

Matrix Algebra Using MINimal MATlab Pub Date : 2018-10-08 DOI:10.1201/9781315275451-20

K. Kamdin

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摘要

本文给出了Jordan范式定理的一个证明。首先，我们证明了一个复杂的有限维向量空间可以分解成不变子空间的直接和。然后，使用归纳法，我们证明了约旦范式是由几个循环幂零矩阵表示的，每个矩阵加上一个特征值乘以单位矩阵——这些是约旦

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JORDAN NORMAL FORM

This paper outlines a proof of the Jordan Normal Form Theorem. First we show that a complex, finite dimensional vector space can be decomposed into a direct sum of invariant subspaces. Then, using induction, we show the Jordan Normal Form is represented by several cyclic, nilpotent matrices each plus an eigenvalue times the identity matrix – these are the Jordan

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Matrix Algebra Using MINimal MATlab

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