is positive definite if
The Determinant of a positive definite matrix is Positive, but the converse is not necessarily true (i.e., a matrix with a Positive Determinant is not necessarily positive definite).
A Real Symmetric Matrix
is positive definite Iff there exists a Real nonsingular Matrix
A Hermitian Matrix is positive definite if
See also Determinant, Eigenvalue, Hermitian Matrix, Matrix, Positive Semidefinite Matrix
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA:
Academic Press, p. 1106, 1979.