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
   • sympy_compute.py charpoly "[[a,b],[c,d]]" --var lam

2. Find Eigenvalues

   • Solve characteristic polynomial
   • sympy_compute.py eigenvalues "[[1,2],[3,4]]"

3. Find Eigenvectors

   • For each eigenvalue lambda: solve (A - lambda*I)v = 0