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Matrix unit

In linear algebra, a matrix unit is a matrix with only one nonzero entry with value 1. The matrix unit with a 1 in the ith row and jth column is denoted as E i j {\displaystyle E_{ij}} . For example, the 3 by 3 matrix unit with i = 1 and j = 2 is E 12 = [ 0 1 0 0 0 0 0 0 0 ] {\displaystyle E_{12}={\begin{bmatrix}0&1&0\\0&0&0\\0&0&0\end{bmatrix}}} A…

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Properties

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Map overview Semantic statistics

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Matrix unit

Nodes11
Edges10
Triples3
Avg. degree1.82
Density0.181818
Components1

How this topic connects Entity context

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Matrix unit

Top relations

related to Properties · 2
Matrix unit → Kronecker, The
is a · 1
Matrix unit → matrix with only one nonzero entry with value 1

Important terminology Word statistics

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Important terminology

matrix unit displaystyle matrices one nonzero entry value units row column ij example vector set two linear algebra ith jth

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Matrix unitis amatrix with only one nonzero entry with value 10.90text
Matrix unitrelated to PropertiesThe0.60section
Matrix unitrelated to PropertiesKronecker0.60section

Related concept clusters Concept neighborhoods

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