Positive definite matrix and its eigenvalues

[retspool]

I need to know if there is any relationship between the positive definite matrices and its eigenvalues

Also i would appreciate it if some one would also include the relationship between the negative definite matrices and their eigenvalues

Also can some also menthow the Gaussian elimination of the matrix help in determining the above

Best

 

[lanedance]

what's your definition of positive definite?

try using it with an arbitrary eigenvector