How to Prove that a Matrix is Positive Definite
In this video I will teach you what a positive definite matrix is and how you can prove that a matrix is positive definite using the five fundamental properties of positive definite matrices. I will also show you a worked example of using Sylvester's criteria for positive definite matrices to actually prove that a matrix is in fact positive definite. I will also share with you a really simple way to instantly tell by looking at a matrix if it is likely to be positive definite or if it cannot be positive definite.