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Jordan matrix

In the mathematical discipline of matrix theory, a Jordan matrix, named after Camille Jordan, is a block diagonal matrix over a ring R (whose identities are the zero (0) and one (1)), where each block along the diagonal, called a Jordan block, has the following form: [ λ 1 0 ⋯ 0 0 λ 1 ⋯ 0 ⋮ ⋮ ⋱ ⋱ ⋮ 0 0 0 λ 1 0 0 0 0 λ ] . {\displaystyle…

Functions of matrices, Linear algebra & Dynamical systems

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Definition

Linear algebra

Functions of matrices

Dynamical systems

Linear ordinary differential equations

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Jordan matrix

Nodes63
Edges62
Triples12
Avg. degree1.97
Density0.031746
Components1

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Jordan matrix

Top relations

related to Definition · 7
Jordan matrix → Any, Every Jordan, It, Jordan, Jλ, Jλi, This
related to Linear algebra · 5
Jordan matrix → Any, Jordan, Jλk, More, Whereas

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Important terminology

displaystyle jordan matrix lambda form whose mathbb normal block blocks mathrm diagonal dynamical begin cdots end eigenvalue right operatorname spec

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SubjectPredicateObjectConfidenceSrc
Jordan matrixrelated to DefinitionEvery Jordan0.60section
Jordan matrixrelated to DefinitionJλ0.60section
Jordan matrixrelated to DefinitionIt0.60section
Jordan matrixrelated to DefinitionAny0.60section
Jordan matrixrelated to DefinitionJordan0.60section
Jordan matrixrelated to DefinitionThis0.60section
Jordan matrixrelated to DefinitionJλi0.60section
Jordan matrixrelated to Linear algebraAny0.60section
Jordan matrixrelated to Linear algebraJordan0.60section
Jordan matrixrelated to Linear algebraMore0.60section
Jordan matrixrelated to Linear algebraJλk0.60section
Jordan matrixrelated to Linear algebraWhereas0.60section

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