Linear Algebra, Python, Numpy, Matrix Decomposition, Eigenvectors.
np.array([[1,0,0],[3,np.sqrt(2),0],[2,2/np.sqrt(2),np.sqrt(3)]]) u = np.array([[1,2,4], [0,np.sqrt(2),2/np.sqrt(2)],[0,0,np.sqrt(3)]]) np.matmul(l,u) Out[7]: array([[ 1., 2., 4.], [ 3., 8., 14.], [ 2., 6., 13.]]) Now instead of calculating the L and U matrices by hand, the scipy package provides