Linear Algebra, Python, Numpy, Matrix Decomposition, Eigenvectors.
𝐴𝑥=𝑏 (more information on Gaussian elimination in my first article). However, the algorithm for using Gaussian Elimination takes 𝑂(1/3*𝑛^3) operations. This is where LU Decomposition can help. Let's say we have the linear system 𝐴𝑥=𝑏, where the matrix 𝐴 can be decomposed into a lower and upper