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Jordan block

Jordan 块

本站译名 线性代数 义项编号TS-0071

中文别名
若尔当块

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How To Study As A Mathematics Major 封面

《How To Study As A Mathematics Major》 · 第 164 页 · Section 3.1「The Jordan canonical form theorem」,Definition 3.1.1

A Jordan block $J_k(\lambda)$ is a $k$-by-$k$ upper triangular matrix of the form $J_k(\lambda)=\begin{pmatrix}\lambda&1&&0\\&\lambda&\ddots&\\&&\ddots&1\\0&&&\lambda\end{pmatrix}$. The scalar $\lambda$ appears $k$ times on the main diagonal; if $k>1$, there are $k-1$ entries “$+1$” in the superdiagonal; all other entries are zero.

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