In this segment we are going to we are talking
about some theorems about eigenvalues and
eigenvectors so one of the theorems says that
the eigenvectors of a symmetric matrix are
orthogonal what that basically means is that
if you have a symmetric matrix the eigenvectors
which you are going to get for a for a symmetric
matrix they are going to be perpendicular
to each other they are going to be orthogonal
that means the dot product of the eigenvectors
is going to be zero so if you take one eigenvector
corresponding to one eigenvalue then you find
the dot product of it of the eigenvector corresponding
to another eigenvalue if it is corresponding
to a symmetric matrix which you are finding
the eigenvalues of then you going to find
the dot product to be equal to zero however
it does come with a fine print only if 
the eigenvalues are distinct so if your eigenvalues
are distinct only for those eigenvectors you
find this to be true and that s the end of
this segment
