symmetric matrix

collocation in English

meaningsofsymmetricalandmatrix

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withmatrix.
symmetrical
adjective
uk
/sɪˈmet.rɪ.kəl/us
/sɪˈmet.rɪ.kəl/
having two parts that match exactly, either when one half is like an image of the other half in a mirror, or when one part can take the place of another if it is turned 90° ...
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matrix
noun
uk
/ˈmeɪ.trɪks/us
/ˈmeɪ.trɪks/
formal
the set of conditions that provides a system in which something grows ...
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(Definition ofsymmetricalandmatrixfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofsymmetric matrix

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
Any quadratic function can be written as a linear function of a certainsymmetricmatrix(depending quadratically on x).
From theCambridge English Corpus
However, it is a theorem that all the eigenvalues of a realsymmetricmatrixare themselves real.
From theCambridge English Corpus
These equations can be discretized to producesymmetricmatrixequations, which are solved by successive line over-relaxation.
From theCambridge English Corpus
This follows by considering in this equation the determinant of thesymmetricmatrixof coefficients.
From theCambridge English Corpus
This can be shown using the spectral + decomposition of asymmetricmatrix.
From theCambridge English Corpus
Optimization problems in which the variable is not a vector but asymmetricmatrixwhich is required to be positive semidefinite have been intensely studied in the last ten years.
From theCambridge English Corpus
It is asymmetricmatrixconsisting of nine 33 circulant blocks.
From
Wikipedia
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The entries of asymmetricmatrixare symmetric with respect to the main diagonal.
From
Wikipedia
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Therefore, in linear algebra over the complex numbers, it is often assumed that asymmetricmatrixrefers to one which has real-valued entries.
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There are three ways to achieve this: as either an upper-triangular matrix, a lower-triangular matrix, or asymmetricmatrix.
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An efficient method of locating these solutions exploits the homogeneous matrix representation of conic sections, i.e. a 3x3symmetricmatrixwhich depends on six parameters.
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Wikipedia
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Asymmetricmatrixis a matrix whose values are symmetric in the northwest-to-southeast diagonal.
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In linear algebra, a realsymmetricmatrixrepresents a self-adjoint operator over a real inner product space.
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Asymmetricmatrixis positive-definite if and only if all its eigenvalues are positive, i.e., the matrix is positive-semidefinite and it is invertible.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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