Write the matrix equation (Amathbf{v}=lambdamathbf{v})
Rearrange to ((A-lambda I)mathbf{v}=0)
Find the eigenvalues (lambda) by solving (det(A-lambda I)=0)
Substitute each eigenvalue into ((A-lambda I)mathbf{v}=0)
Solve the resulting homogeneous system...
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...
