how to compute the angle of tilt of ellipse or ellipsoid i need you help in solving the following problem:
given the "center form" of ellipsoid:


*

*A : matrix of d*d where d is the dimension

*c : center of the ellipsoid hold in a vector


how can i compute the angle of tilt of the ellipsoid from these two inputs in Matlab?
And how can i compute the angle between 2 axes i.e. the axes of the ellipsoid and the axes of the coordinate system?
Thanks in advance.

Following this post of mine, the eigenvectors of your matrix $A$ will form a rotation matrix which turns a rotated ellipse into its axis-aligned (i.e. diagonal matrix) analogon, and vice versa. This generalizes to higher dimensions.
To read the angle from that matrix, follow this Wikipedia article on how to turn a rotation matrix into an axis and angle representation. Unfortunately, the formula you obtain from this doesn't generalize to other dimensions.
