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3 & 4 & 1 \\
\end{bmatrix}
</math>
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::::You are quite correct: reading through the article, the math typesetting looks like a general form lower triangular that's been normalized. Not good. I've extended the typesetting for the matrix <math>\mathbf{L}_i</math> to show all the lower diagonal zeros, and have added a section heading "special forms" to separate the paragraph from the general section on triangular matricies. [[User:Tom Lougheed|Tom Lougheed]] 02:32, 12 August 2007 (UTC)
==Other false claim==
The statement about simultaneous triangulation si false without further assumption like (diagonabilyt of one the matrices)
It is false that two commuting matrices have a common eigenvector, we can find a counter example using a direct sum of two nilpotent Jordan blocks of the same size for the first matrix and with the second matrix that permutes these blocks.
== Algebra of upper triangular matrices ==
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