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CyborgTosser (talk | contribs) m reference to Hessenberg matrix |
CyborgTosser (talk | contribs) added unit lower and upper triangular matrix |
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\end{pmatrix}</math>
is lower triangular.
It is also sometimes useful to distinguish matrices that are '''unit lower triangular''' or '''unit upper triangular'''. These matrices are triangular with the additional property that all of the diagonal entries are 1. In [[LU decomposition]], the matrix <var>L</var> is usually unit 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.
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