PositiveDefiniteMatrixQ

Available

Test if a matrix is positive definite.

Forms

PositiveDefiniteMatrixQ[m]

Verified examplesPositiveDefiniteMatrixQ[{{5}}] → True PositiveDefiniteMatrixQ[{{1, 2, 3}, {4, 5, 6}}] → False

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Topics

Matrices And Linear Algebra - Matrix Predicates »
Matrix Predicates - Quadratic-Form Related
New In60 Alphabetical Listing - P
New In60 Matrix And Linear Algebra Functions - New Matrix Structure Functions

Related

PositiveSemidefiniteMatrixQ NegativeDefiniteMatrixQ NegativeSemidefiniteMatrixQ HermitianMatrixQ SymmetricMatrixQ Eigenvalues SquareMatrixQ ArrayFlatten Band Diagonal DiagonalMatrixQ IndefiniteMatrixQ

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