Content deleted Content added
Jitse Niesen (talk | contribs) →Notes: normal + triangular implies diagonal |
Jitse Niesen (talk | contribs) →Notes: "the eigenvalues of a triangular matrix are the diagonal entries." |
||
Line 59:
A matrix which is simultaneously triangular and [[normal matrix|normal]], is also diagonal. This can be seen by looking at the diagonal entries of ''A''<sup>*</sup>''A'' and ''AA''<sup>*</sup>, where ''A'' is a normal, triangular matrix.
The [[transpose]] of a upper triangular matrix is a lower triangular matrix and vice versa. The [[determinant]] of a triangular matrix equals the product of the diagonal entries, and the [[eigenvalue]]s of a triangular matrix are the diagonal entries.
The variable ''L'' is commonly used for lower triangular matrix, standing for lower/left, while the variable ''U'' or ''R'' is commonly used for upper triangular matrix, standing for upper/right.
| |||