Form the matrix (A – lambda I)
Find the eigenvalues (lambda) by solving (det(A – lambda I) = 0)
For each eigenvalue (lambda), solve ((A – lambda I)mathbf{v} = mathbf{0})
Find the nonzero vectors (mathbf{v}) in the null space of (A – lambda I)
Any nonzero scalar multiple of an eigenvector is also an eigenvector
Choose a basis for the null space to obtain a set of eigenvectors
Repeat for each eigenvalue