invertible matrix
English
Noun
invertible matrix (plural invertible matrices)
- (linear algebra) An n×n square matrix for which some other such matrix exists such that when they are multiplied by each other (in either order), the result is the n×n identity matrix.
- 1975 [Prentice-Hall], Kenneth Hoffman, Analysis in Euclidean Space, Dover, 2007, page 65,
- It says that, if A is a singular matrix, then every neighborhood of A contains an invertible matrix. In other words, if A is singular, we can perturb A just a little and obtain an invertible matrix.
- 1997, Bernard L. Johnston, Fred Richman, Numbers and Symmetry: An Introduction to Algebra, CRC Press, page 199,
- There are certain very simple invertible matrices, and every invertible matrix over a field can be built up out of them.
- 2013, Mahya Ghandehari, Aizhan Syzdykova, Keith F. Taylor, A four dimensional continuous wavelet transform, Azita Mayeli (editor), Commutative and Noncommutative Harmonic Analysis and Applications, American Mathematical Society, page 123,
- The space of real square matrices of fixed size is a vector space whose dimension is a perfect square and the invertible matrices constitute a dense open subset of this vector space.
- 1975 [Prentice-Hall], Kenneth Hoffman, Analysis in Euclidean Space, Dover, 2007, page 65,
Antonyms
Hyponyms
Translations
square matrix which, when multiplied by some other, yields the identity matrix
|
|
Further reading
This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.