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Other names used for these matrices are '''unit''' (upper or lower) '''triangular''', or very rarely '''normed''' (upper or lower) '''triangular'''. However, a ''unit'' triangular matrix is not the same as '''the''' ''[[identity matrix|unit matrix]]'', and a ''normed'' triangular matrix has nothing to do with the notion of [[matrix norm]].
All finite unitriangular matrices are [[unipotent]].
=== Strictly triangular matrix ===
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If all of the entries on the main diagonal of a (upper or lower) triangular matrix are 0, the matrix is called '''strictly''' (upper or lower) '''triangular'''.
All finite strictly triangular matrices are [[nilpotent matrix|nilpotent]].
=== Atomic triangular matrix ===
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