Linear Algebra, Python, Numpy, Matrix Decomposition, Eigenvectors.
0.33333333 -1. 1. ]] Upper Matrix [[ 3. 8. 14. ] [ 0. 0.66666667 3.66666667] [ 0. 0. 3. ]] The reason why the LU Decomposition is so important is that it gives us an alternative approach to solving linear systems. We know that Gaussian Elimination can be used to solve a linear system of the form