A strictly upper triangular matrix is an upper triangular matrix having 0s along the diagonal as
well as the lower portion, i.e., a matrix ![A=[a_(ij)]](/images/equations/StrictlyUpperTriangularMatrix/Inline1.svg)
such that 
for 
. Written explicitly,
![U=[0 a_(12) ... a_(1n); 0 0 ... a_(2n); | | ... |; 0 0 ... 0].](/images/equations/StrictlyUpperTriangularMatrix/NumberedEquation1.svg) |
Strictly Upper Triangular Matrix
See also
Lower Triangular Matrix, Strictly Lower Triangular Matrix, Triangular MatrixExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Strictly Upper Triangular Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StrictlyUpperTriangularMatrix.html