# strictly upper triangular matrix

A strictly is an upper triangular matrix which has $0$ on the main diagonal. Similarly a strictly lower triangular matrix is a lower triangular matrix which has $0$ on the main diagonal. i.e.

 $\begin{bmatrix}0&a_{12}&a_{13}&\cdots&a_{1n}\\ 0&0&a_{23}&\cdots&a_{2n}\\ 0&0&0&\cdots&a_{3n}\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ 0&0&0&\cdots&0\end{bmatrix}$

A strictly lower triangular matrix is of the form

 $\begin{bmatrix}0&0&0&\cdots&0\\ a_{21}&0&0&\cdots&0\\ a_{31}&a_{32}&0&\cdots&0\\ \vdots&\vdots&\vdots&\ddots&\vdots\\ a_{n1}&a_{n2}&a_{n3}&\cdots&0\end{bmatrix}$
Title strictly upper triangular matrix StrictlyUpperTriangularMatrix 2013-03-22 13:42:15 2013-03-22 13:42:15 Daume (40) Daume (40) 8 Daume (40) Definition msc 15-00 supertriangular strictly lower triangular matrix