square matrix

collocation in English

meaningsofsquareandmatrix

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withmatrix.
square
adjective
uk
/skweər/us
/skwer/
having the shape of ...
See more atsquare
matrix
noun
uk
/ˈmeɪ.trɪks/us
/ˈmeɪ.trɪks/
formal
the set of conditions that provides a system in which something grows ...
See more atmatrix

(Definition ofsquareandmatrixfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofsquare 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.
For example, asquarematrixhas an inverse if and only if its determinant is not zero.
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Moreover, anysquarematrixwith zero trace is unitarily equivalent to asquarematrixwith diagonal consisting of all zeros.
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A matrix which has the same number of rows and columns is called a "squarematrix".
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Asquarematrixthat is not invertible is called singular or degenerate.
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A notable exception is that the identity matrix (or any scalar multiple of it) commutes with everysquarematrix.
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These suffice to uniquely calculate the determinant of anysquarematrix.
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Asquarematrixis singular if and only if its determinant is 0.
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It is asquarematrixof order "n", and also a special kind of diagonal matrix.
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Asquarematrixhas an inverse if and only if its determinant has an inverse in the coefficient ring.
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Often these are thesquarematrixrings, but under certain conditions infinite matrix rings are also possible.
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At the other end of the table is a series of 25 holes, roughly 5 cm in diameter, arranged in a five-by-fivesquarematrix.
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A positivesquarematrixis primitive and a primitive matrix is irreducible.
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Here they are overlaid and each generally has complex entries extending to all four corners of thesquarematrix.
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Anysquarematrixcan trivially be considered a block diagonal matrix with only one block.
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Similarly, asquarematrixis called upper triangular if all the entries "below" the main diagonal are zero.
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Asquarematrixis called lower triangular if all the entries "above" the main diagonal are zero.
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The generalized incidence matrix for such hypergraphs is, by definition, asquarematrix, of a rank equal to the total number of vertices plus edges.
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This observation means that if is asquarematrixand has no vanishing singular value, the equation has no non-zero as a solution.
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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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See other collocations withmatrix