Triangular matrix: Difference between revisions

Revision as of 14:17, 30 June 2005

Revision as of 05:42, 2 October 2005

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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.

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. The variable R has the added benefit of being the same initial for the German term for 'right.'

Generally, operations can be performed on triangular matrices within half the time.