Triangular matrix: Difference between revisions

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If all of the entries on the main diagonal of a (upper or lower) triangular matrix are also 0, the matrix is called '''strictly''' (upper or lower) '''triangular'''.
 
All finite strictly triangular matrices are [[nilpotent matrix|nilpotent]] of index at most ''n'' as a consequence of the [[Cayley–Hamilton theorem|Cayley-Hamilton theorem]].
 
=== Atomic triangular matrix ===