## Definitions for identity matrix

### Princeton's WordNet(0.00 / 0 votes)Rate this definition:

1. identity matrix, unit matrix(noun)

a scalar matrix in which all of the diagonal elements are unity

### Wiktionary(0.00 / 0 votes)Rate this definition:

1. identity matrix(Noun)

A diagonal matrix all of the diagonal elements of which are equal to 1.

### Freebase(0.00 / 0 votes)Rate this definition:

1. Identity matrix

In linear algebra, the identity matrix or unit matrix of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere. It is denoted by In, or simply by I if the size is immaterial or can be trivially determined by the context. Some mathematics books use U and E to represent the Identity Matrix, although I is considered more universal. When A is m×n, it is a property of matrix multiplication that In particular, the identity matrix serves as the unit of the ring of all n×n matrices, and as the identity element of the general linear group GL consisting of all invertible n×n matrices. Where n×n matrices are used to represent linear transformations from an n-dimensional vector space to itself, In represents the identity function, regardless of the basis. The ith column of an identity matrix is the unit vector ei. It follows that the determinant of the identity matrix is 1 and the trace is n.

### Numerology

1. Chaldean Numerology

The numerical value of identity matrix in Chaldean Numerology is: 6

2. Pythagorean Numerology

The numerical value of identity matrix in Pythagorean Numerology is: 2

# Translations for identity matrix

### From our Multilingual Translation Dictionary

• Einheitsmatrix
• ühikmaatriks
• identiteettimatriisi, yksikkömatriisi
• matrice identité, matrice unité
• egységmátrix, identitásmátrix
• einingarfylki
• matrice identità
• 単位行列
• eenheidsmatrix
• identitetsmatrise
• macierz jednostkowa
• едини́чная ма́трица
• enhetsmatris

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