The EigenvectorsTutor(M) command presents the techniques used in finding the eigenvectors of the square matrix  by:

Finding the eigenvalues

Solving the equation  for each eigenvalue

The Matrix M must be square and of dimension 4 at most.

Floating-point numbers in M are converted to rationals before computation begins.

If the symbolic expression representing an eigenvalue grows too large, then the value displayed in the Maplet application window is a floating-point approximation to it (obtained by applying evalf).  The underlying computations continue to be performed using exact arithmetic, however.

The EigenvectorsTutor(M) command returns the eigenvectors as a set of column Vectors.