please answer the 3rd question only

1) [Solve by hand-writing] The following linear system of equations is given. x, y and z are unknowns. 2z + y - x =5 2x + 3y + 4z =-1 -4x - y = 11 a) Identify eigenvalues and eigenvectors of the system. Use this information to determine rank and determinant of the coefficient matrix. b) Calculate the inverse of eigenvector matrix by Gauss Jordan elimination and show that the coefficient matrix, A, is equal to P.D.P-, its eigendecomposed version.3) [Solve in computer] Use a programming language (python or R) to solve equation (1) in computer