Find if the following function are PD, ND, PSD, NSD or IND f(x)=〖4x〗^2-8x+8

Let’s select a point (0,1) in above equation;

As from the above solution we say that it is positive definite.

This is show that it is NSD

1. for each of the following matrices:

Find if the matrices above are PD, ND, PSD, NSD or IND.

Solution:

Invertible is defined as the element of A is equal to the inverse of the element of A and the element is not equal to the element of other.

Find the gradient and Hessian of;