In this chapter, you will discover the eigendecomposition, eigenvectors, and eigenvalues in linear algebra. After completing this tutorial, you will know: What an eigendecomposition is and the role of eigenvectors and eigenvalues. How to calculate an eigendecomposition in Python with NumPy. How to confirm a vector is an eigenvector and how to reconstruct a matrix from eigenvectors and eigenvalues. This tutorial is divided into 5 parts; they are: Eigendecomposition of a Matrix, Eigenvectors and Eigenvalues, Calculation of Eigendecomposition, Confirm an Eigenvector and Eigenvalue, Reconstruct Original Matrix