Triangular matrix: Difference between revisions

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copy-edit, lower + upper triangular = diagonal, determinant
Definition: aka Gauss (transformation) matrix
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is called '''upper triangular matrix''' or '''right triangular matrix'''.
 
If the entries on the [[principal diagonal]] are 1, the matrix is termed '''unit''' upper/lower or '''normed''' upper/lower triangular. If, in addition, all the off-diagonal entries are zero except for the entries in one column, then the matrix is '''atomic''' upper/lower triangular; such a matrix is also called a '''Gauss (transformation) matrix'''. So an atomic lower triangular matrix is of the form
:<math> \mathbf{L}_{i} =
\begin{bmatrix}