I want to calculate the eigenvectors x from a system A by using this: A x = λ x The problem is that I don't know how to solve the eigenvalues by using SymPy. Here is my code. I want to get some values for x1 and x2 from matrix A from sympy import * x1, x2, Lambda = symbols('x1 x2 Lambda') I = eye(2) A = Matrix([[0, 2], [1, -3]]) equation = Eq(det(Lambda*I-A), 0) D = solve(equation) print([N(element, 4) for element in D]) # Eigenvalus in decimal form print(pretty(D)) # Eigenvalues in exact form X = Matrix([[x1], [x2]]) # Eigenvectors T = A*X - D[0]*X # The Ax = %Lambda X with the first %Lambda = D[0] print(pretty(solve(T, x1, x2))) Continue reading...