In this lesson on Eigenvalues, Eigenvectors, and Diagonalization. You'll begin by understanding the existence of these values and how to derive eigenvectors from them. Exploring the characteristic equation, we'll learn to generate eigenvalues and explore their key properties. Moving forward, you'll dive into the essential process of diagonalization, encompassing definitions and the relationship between vectors and their transposes. Through hands-on activities, you'll master the art of creating diagonal matrices. Additionally, we've curated a set of questions for independent practice, ensuring a thorough grasp of these crucial concepts. Let's dive in!