High Quality Content by WIKIPEDIA articles! In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix where the entries either below or above the main diagonal are zero. A matrix which is conjugate to a triangular matrix is called triangularizable. Because matrix equations with triangular matrices are easier to solve they are very important in numerical analysis. The LU decomposition gives an algorithm to decompose any invertible matrix A into two triangular factors: a normed lower triangle matrix L and an upper triangle matrix U.

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