A positive matrix is a real or integer matrix
for which each matrix element is a positive number, i.e.,
for all
,
.
Positive matrices are therefore a subset of nonnegative matrices.
Note that a positive matrix is not the same as a positive definite matrix.
See also
Identity Matrix,
Integer Matrix,
Matrix,
Negative Matrix,
Nonnegative Matrix,
Nonpositive Matrix,
Positive,
Positive Eigenvalued Matrix,
Positive Definite Matrix,
Positive Semidefinite Matrix,
Real Matrix,
Unit Matrix,
Zero Matrix Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Positive Matrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PositiveMatrix.html
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