Definition of Identity matrix

1. Noun. A scalar matrix in which all of the diagonal elements are unity.

Exact synonyms: Unit Matrix
Generic synonyms: Scalar Matrix

Definition of Identity matrix

1. Noun. (linear algebra) A diagonal matrix all of the diagonal elements of which are equal to 1. ¹

¹ Source:

Medical Definition of Identity matrix

1. A square matrix in which the quantities on the diagnonal from top left to bottom right are all equal to 1 and all the other entries are 0. (05 Mar 2000)

Lexicographical Neighbors of Identity Matrix

identity card
identity cards
identity crises
identity crisis
identity disorder
identity element
identity function
identity functions
identity matrix (current term)
identity of indiscernibles
identity operator
identity theft
identity thefts
identity verification

Literary usage of Identity matrix

Below you will find example usage of this term as found in modern and/or classical literature:

1. Frontiers of Engineering: Reports on Leading-edge Engineering from the 2005 by Nae, National Academy of Engineering (2006)
"As Q deviates far from the identity matrix (which means that there is a lot of "noise" in the system, that is, mistakes or learning are very likely), ..."

2. Sas/stat 9.1 User's Guide by SAS Institute, Virginia Clark (2004)
"Code Description IDE specifies an identity matrix; if the matrix is not square, this specification describes an identity submatrix followed by a rectangular ..."

3. SAS/IML 9.1 by SAS Institute (2004)
"I Function creates an identity matrix I( dimension) where dimension specifies the size of the identity matrix. The I function creates an identity matrix ..."

4. Spatial Statistics and Imaging by Antonio Possolo (1991)
"Without loss of generality assume that the identity matrix is one of the linearly independent scalar matrix functions. Then ~g is said to be positive ..."

5. SAS/ETS(R) 9.1 User's Guide, Volumes 1, 2, 3, and 4 by SAS Institute (2004)
"For model identification, the first r rows and columns of G are set to an rxr identity matrix. The input vector et is a sequence of independent normally ..."

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