Eigenvalues When to Use Use this skill when working on eigenvalues problems in linear algebra. Decision Tree 1. Compute Characteristic Polynomial - det(A - lambda I) = 0 - 2. Find Eigenvalues - Solve characteristic polynomial - 3. Find Eigenvectors - For each eigenvalue lambda: solve (A - lambda I)v = 0 - 4. Verify - Check Av = lambda v with - Verify algebraic/geometric multiplicity Tool Commands Sympy Eigenvalues Sympy Charpoly Z3 Verify Cognitive Tools Reference See for full tool documentation. ---