The characteristic polynomial of a 3x3 matrix calculator computes the characteristic polynomial of a 3x3 matrix. 

The Equilibrium Point of a 2x2 Matrix calculator computes the equilibrium point of a system of differential equations.

Quoting Bray, "When we talk about points in `RR^2` or `RR^3,` we refer to a specific point with a set of coordinates. In `RR^2` we need two coordinates, and in `RR^3` we need three coordinates. These coordinates are defined by a set of conventions, defining a 'coordinate system' " (43).

The Determinant of a 2x2 Matrix calculator computes the determinant of a 2x2 matrix.

The computation of eigenvalues and eigenvectors can serve many purposes; however, when it comes to differential equations eigenvalues and eigenvectors are most often used to find straight-line solutions of linear systems.