Matrix Decomposition: Using Eigendecomposition & Singular Value Decomposition

Eigenvalues eigenvectors and the Singular Value Decomposition (SVD) are the foundation of many important techniques including the widely used method of Principal Components Analysis (PCA). Use this course to learn when and how to use these methods in your work. To start investigate precisely what eigenvectors and eigenvalues are. Then explore various examples of eigendecomposition in practice. Moving on use eigenvalues and eigenvectors to diagonalize a matrix noting why diagonalizing matrices is extremely efficient in computing matrix higher powers. By the end of the course youll be able to apply eigendecomposition and Singular Value Decomposition to diagonalize different types of matrices and efficiently compute higher powers of matrices in this manner.