A totally positive matrix is a square matrix whose every minor, the determinant
of a square submatrix, is positive.
For instance, a 
matrix is totally positive iff its
determinant and all its entries are positive.
Totally Positive Matrix
See also
Generalized Vandermonde MatrixPortions of this entry contributed by Todd Rowland
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References
Gantmacher, F. R. The Theory of Matrices, Vol. 2. Providence, RI: AMS Chelsea, 2000.Referenced on Wolfram|Alpha
Totally Positive MatrixCite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Totally Positive Matrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TotallyPositiveMatrix.html