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invertible matrix. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Noun
invertible matrix (plural invertible matrices)
- (linear algebra) Any n×n square matrix for which there exists a corresponding inverse matrix (i.e., a second (or possibly the same) matrix such that when the two are multiplied by each other, in either order, the result is the n×n identity matrix).
- 1975 , 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”, in 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.
Antonyms
Hyponyms
Translations
square matrix which, when multiplied by some other, yields the identity matrix
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