Algebraic Multiplicity and Geometric Multiplicity | Diagonalization | Ganitya

In this video, we explore the concepts of *Algebraic Multiplicity* and *Geometric Multiplicity* of an eigenvalue λ — two essential ideas in *Linear Algebra* and **Matrix Theory**. You’ll learn: What algebraic and geometric multiplicities mean How they relate to eigenvalues and eigenspaces Step-by-step examples that show how to compute both This video is perfect for students studying **matrix diagonalization**, **eigenvalues**, or preparing for exams in **Linear Algebra**. 📘 *Topics Covered:* Eigenvalues and Eigenvectors Basics Algebraic Multiplicity (AM) Geometric Multiplicity (GM) Relationship Between AM and GM Practical Examples and Exercises 🎓 By the end, you’ll have a clear understanding of how multiplicities determine the behavior and diagonalizability of a matrix. 🔔 *Subscribe* for more linear algebra tutorials and step-by-step math explanations!