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Line 66: 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 generalization in [[functional analysis]] which yields [[nest algebra]]s on [[Hilbert space]]s. The set of invertible triangular matrices form a [[group (mathematics)\|group]]. It is a subgroup of all invertible matrices, and is ~~called~~an ~~the~~example of a [[parabolic subgroup\|parabolic]] or [[Borel subgroup]]. == Examples ==

Triangular matrix: Difference between revisions