# Positive definite matrix

### From Glossary

The symmetric matrix is positive definite if
for all nonzero
Equivalently, the matrix is positive definite if all its
eigenvalues are positive.

Also see Positive semi-definite matrix

The symmetric matrix is positive definite if
for all nonzero
Equivalently, the matrix is positive definite if all its
eigenvalues are positive.

Also see Positive semi-definite matrix