Code for Linear Equations and Eigensystems:

• c_2_p_2.m (inverting the ill-conditioned Hilbert matrix)
  
• c_2_p_3.m (the condition number of the Hilbert matrix)
  
• c_2_p_4.m (compute the inverse of I-A using a power series)
  
• c_2_p_5.m (computing an eigenvector "by hand")
  
• c_2_p_6.m (sparse and full linear equation solving)
  
• c_2_p_7.m (sparse and full eigenvalues)
  
• c_2_p_8.m (sparse and full Cholesky decompositions)
  
• c_2_p_9.m (comparing \, pinv, and qr for linear equation solving)
  
• c_2_p_10_mk_E.m (generates the E matrix)
  
• c_2_p_10.m (linear solves on the E matrix)
  
• c_2_p_11.m (the inverse of the E matrix)
  
• c_2_p_12.m (the eigenvalues of the E matrix)
  
• c_2_p_13.m (the condition number of the E matrix)
  
• c_2_p_14.m (left and right eigenvectors)