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GeezerVison is showing mathworld.wolfram.com — Lower Triangular Matrix -- from Wolfram MathWorld 
Lower Triangular Matrix
A lower triangular matrix is a triangular matrix
Written explicitly,
A matrix
A strictly lower triangular matrix is a lower triangular matrix having 0s along the diagonal
as well, i.e., See alsoStrictly Lower Triangular Matrix, Triangular Matrix, Upper Triangular MatrixExplore with Wolfram|Alpha
More things to try: ReferencesAyres, F. Jr. Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, p. 10, 1962.Referenced on Wolfram|AlphaLower Triangular MatrixCite this as:Weisstein, Eric W. "Lower Triangular Matrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LowerTriangularMatrix.html Subject classifications | ||||
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![L=[a_(11) 0 ... 0; a_(21) a_(22) ... 0; | | ... 0; a_(n1) a_(n2) ... a_(nn)].](/api/image?u=https%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FLowerTriangularMatrix%2FNumberedEquation2.svg)
can be tested to determine if it is lower triangular in the 
for 
.