Write the matrix as (A)
Compute (A – lambda I)
Find the determinant (det(A – lambda I))
Set (det(A – lambda I) = 0)
Solve the resulting characteristic equation for (lambda)
The solutions (lambda) are the eigenvalues
Verify each eigenvalue by checking ((A – lambda I)mathbf{v} = mathbf{0}) has a nonzero vector (mathbf{v})