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词汇 example_english_square-matrix
释义

square matrix

collocation in English

meanings of squareand matrix


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


Examples of square 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, a squarematrix has an inverse if and only if its determinant is not zero.
From
Wikipedia

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Moreover, any squarematrix with zero trace is unitarily equivalent to a squarematrix with 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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A squarematrix that 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 every squarematrix.
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These suffice to uniquely calculate the determinant of any squarematrix.
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A squarematrix is singular if and only if its determinant is 0.
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It is a squarematrix of order "n", and also a special kind of diagonal matrix.
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A squarematrix has an inverse if and only if its determinant has an inverse in the coefficient ring.
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Often these are the squarematrix rings, 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-five squarematrix.
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A positive squarematrix is 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 the squarematrix.
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Any squarematrix can trivially be considered a block diagonal matrix with only one block.
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Similarly, a squarematrix is called upper triangular if all the entries "below" the main diagonal are zero.
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A squarematrix is 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, a squarematrix, of a rank equal to the total number of vertices plus edges.
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This observation means that if is a squarematrix and has no vanishing singular value, the equation has no non-zero as a solution.
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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