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词汇 example_english_triangular-matrix
释义

triangular matrix

collocation in English

meanings of triangularand matrix


These words are often used together. Click on the links below to explore the meanings. Or, see other collocations with matrix.
triangular
adjective
uk /traɪˈæŋ.ɡjə.lər/ us /-lɚ/
shaped like ...
See more at triangular
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 triangular 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.
The upper right triangularmatrix is for the horizontal force, and the lower half the vertical force.
The upper right triangularmatrix is for the horizontal force, and the lower the vertical force.
This condition allows us to represent them very easily as products of lower and upper triangular matrix, which is inexpensive and preserves much of the original sparsity.
The determinant of a triangularmatrix equals the product of the diagonal entries.
From
Wikipedia

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The inverse of an atomic triangularmatrix is again atomic triangular.
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The triangularmatrix has one more row than it has columns, so its bottom row consists of zero.
From
Wikipedia

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A triangularmatrix is one that is either lower triangular or upper triangular.
From
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The eigenvalues of a triangularmatrix are listed on the diagonal, and the eigenvalue problem is solved.
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It results in a "unit lower triangular" matrix and an upper triangularmatrix.
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Together these facts mean that the upper triangular matrices form a subalgebra of the associative algebra of square matrices for a given size.
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Matrices that are similar to triangular matrices are called triangularisable.
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Wikipedia

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However, operations mixing upper and lower triangular matrices do not in general produce triangular matrices.
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Some authors prefer using lower triangular matrices; suitable adjustments must be made to the rest of the definition.
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Wikipedia

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Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis.
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The upper triangular matrices are precisely those that stabilize the standard flag.
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The final algorithm looks very much like an iterated product of triangular matrices.
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.
Want to learn more?
Go to the definition of triangular
Go to the definition of matrix
See other collocations with matrix
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