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Line 14: \end{pmatrix}</math> is lower triangular. The product of two upper triangular matrices is upper triangular, so the set of upper triangular matrices forms an [[associative algebra\|algebra]]. Algebras of upper triangular matrices have a natural generalisation in [[functional analysis]] which yields [[nest algebra]]s. See also: [[Row echelon form]], [[LU decomposition]]

Triangular matrix: Difference between revisions