Thread: about symetric positive definite matrices

Hi , I have some question
about the properties of symmetric positive defifnte matrices.
If A and B are symmetric positive defifnte matrices , then is A+B also a symetric positive definite matrix É

Originally Posted by masterinex

Hi , I have some question
about the properties of symmetric positive defifnte matrices.
If A and B are symmetric positive defifnte matrices , then is A+B also a symetric positive definite matrix É

A matrix is positive definite if for all



So lets write it out



Since both are positive difinite the above sum is positive so we are done.

ohw that means A+B is positive definite aswell , but is A+B also symetric É

Well, what's ?