| 11. | But then must be diagonal, for, as noted above, a normal upper-triangular matrix is diagonal.
|
| 12. | For example, a real triangular matrix has its eigenvalues along its diagonal, but in general is not symmetric.
|
| 13. | The factorization is stored as a lower triangular matrix, with the elements in the upper triangle set to zero.
|
| 14. | The application of the Gram Schmidt process to the column vectors of a full column orthogonal and a triangular matrix ).
|
| 15. | The Crout algorithm is slightly different and constructs a lower triangular matrix and a " unit upper triangular " matrix.
|
| 16. | The determinant of the ( upper ) triangular matrix " D " is the product of its entries on the main diagonal :.
|
| 17. | Using these operations, a matrix can always be transformed into an upper triangular matrix, and in fact one that is in row echelon form.
|
| 18. | The LU decomposition factorizes a matrix into a lower triangular matrix " L " and an upper triangular matrix " U ".
|
| 19. | The LU decomposition factorizes a matrix into a lower triangular matrix " L " and an upper triangular matrix " U ".
|
| 20. | We transform the matrix " A " into an upper triangular matrix " U " by eliminating the entries below the main diagonal.
|
