A
triangular matrix
of
the form
 |
(1)
|
Written explicitly,
![U=[a_(11) a_(12) ... a_(1n); 0 a_(22) ... a_(2n); | | ... |; 0 0 ... a_(nn)].](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sTxdPEa_BpxMGp10mO_wbXpxIUGLXPMWRL57mZ14u4Nb7hQHaDj3Zd6F1-i_8cMI12O8k0x0gDpbR-sXArMQFjSfEy8USXYoTqjBb6dSxoz049qxOytHOZP2E1cBdyYXdfcVLd3ufrlKv8uDkUYX3SPFUIwYX9gzPbwL4C=s0-d) |
(2)
|
An upper triangular matrix with elements
f[i,j] above the diagonal could be formed in versions of
Mathematica
prior to 6 using
UpperDiagonalMatrix[
f,
n], which could be
run after first loading
LinearAlgebra`MatrixManipulation`.
A
strictly upper triangular matrix is an upper triangular matrix having 0s along the
diagonal
as well, i.e.,

for

.
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