Use ‘triangular matrix’ in a sentence | ‘triangular matrix’ example sentences
1- The inverse of an atomic triangular matrix is again atomic triangular.
2- The sum of two upper triangular matrices is upper triangular.
3- The result is the upper triangular matrix R1.
4- The inverse of an invertible upper triangular matrix is upper triangular.
5- Their Lie algebras consist of upper and lower strictly triangular matrices .
6- These use a triangular matrix of pairwise language comparisons.
7- Matrices that are similar to triangular matrices are called triangularisable.
8- Likewise, inverses of triangular matrices are algorithmically easier to calculate.
9- A triangular matrix is one that is either lower triangular or upper triangular.
10- The final algorithm looks very much like an iterated product of triangular matrices .
11- The determinant of a triangular matrix equals the product of the diagonal entries.
12- It results in a “unit lower triangular” matrix and an upper triangular matrix .
13- A matrix that is similar to a triangular matrix is referred to as triangularisable.
14- Thus, for example &formula; are, respectively, lower and upper triangular matrices .
15- The transpose of an upper triangular matrix is a lower triangular matrix and vice versa.
16- The transpose of an upper triangular matrix is a lower triangular matrix and vice versa.
17- The product of an upper triangular matrix by a constant is an upper triangular matrix.
18- The product of an upper triangular matrix by a constant is an upper triangular matrix .
19- The following value t constructs a triangular matrix for the coefficients of Pascal’s triangle.
20- However, operations mixing upper and lower triangular matrices do not in general produce triangular matrices.
21- However, operations mixing upper and lower triangular matrices do not in general produce triangular matrices .
22- The Möbius transformations fixing ∠are just the upper triangular matrices B = UD = DU.
23- Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis.
24- In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
25- On the other hand the action on “X” is simple to define for lower triangular matrices .
26- An alternative is the LU decomposition which generates upper and lower triangular matrices which are easier to invert.
27- Let Bn ⊂ GL(n, R) be the subgroup of invertible upper triangular matrices .
28- This condition can be checked each time a new row “k” of the triangular matrix is obtained.
29- Algebras of upper triangular matrices have a natural generalization in functional analysis which yields nest algebras on Hilbert spaces.
30- Positive definite matrices have the property that they have a triangular matrix square root P = S·ST.
31- The Crout algorithm is slightly different and constructs a lower triangular matrix and a “unit upper triangular” matrix.
32- An obvious and useful property of triangular matrices is that their determinants are simply the products of their diagonal terms.
33- It is a lower triangular matrix , reflecting our key assumption with respect to the causal ordering in the model.
34- For example, a real triangular matrix has its eigenvalues along its diagonal, but in general is not symmetric.
35- A matrix equation with an upper triangular matrix U can be solved in an analogous way, only working backwards.
36- The LU decomposition factors matrices as a product of lower (L) and an upper triangular matrices (U).
37- Because the product of two upper triangular matrices is again upper triangular, the set of upper triangular matrices forms an algebra.
38- Because the product of two upper triangular matrices is again upper triangular, the set of upper triangular matrices forms an algebra.
39- Let “B” be the Borel subgroup of upper triangular matrices and “T”C the subgroup of diagonal matrices.
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Related Words:
triangular mesh – triangular truss – triangular bandage – triangular slices – triangular numbers – triangular number – triangular prism – triangular matrix – triangular pyramid – triangular distribution – triangular design – triangular division – triangularly – triangulate – triangulated –
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