triangular matrix

collocation in English

meaningsoftriangularandmatrix

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withmatrix.
triangular
adjective
uk
/traɪˈæŋ.ɡjə.lər/us
/-lɚ/
shaped like ...
See more attriangular
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 oftriangularandmatrixfrom theCambridge English Dictionary© Cambridge University Press)

Examplesoftriangular 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 righttriangularmatrixis for the horizontal force, and the lower half the vertical force.
From theCambridge English Corpus
The upper righttriangularmatrixis for the horizontal force, and the lower the vertical force.
From theCambridge English Corpus
This condition allows us to represent them very easily as products of lower and uppertriangularmatrix, which is inexpensive and preserves much of the original sparsity.
From theCambridge English Corpus
The determinant of atriangularmatrixequals the product of the diagonal entries.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The inverse of an atomictriangularmatrixis again atomic triangular.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Thetriangularmatrixhas one more row than it has columns, so its bottom row consists of zero.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Atriangularmatrixis one that is either lower triangular or upper triangular.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The eigenvalues of atriangularmatrixare listed on the diagonal, and the eigenvalue problem is solved.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
It results in a "unit lowertriangular"matrixand an uppertriangularmatrix.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Together these facts mean that the upper triangular matrices form a subalgebra of the associative algebra of square matrices for a given size.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Matrices that are similar to triangular matrices are called triangularisable.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
However, operations mixing upper and lower triangular matrices do not in general produce triangular matrices.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Some authors prefer using lower triangular matrices; suitable adjustments must be made to the rest of the definition.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The upper triangular matrices are precisely those that stabilize the standard flag.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
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 oftriangular
Go to the definition ofmatrix
See other collocations withmatrix