Primary Decomposition Theorem Explained | Hoffman Linear Algebra (Section 6.8)

📘 Hoffman & Kunze Linear Algebra – Section 6.8 In this lecture, we study one of the most important structure theorems in linear algebra: 👉 The Primary Decomposition Theorem ✨ Topics Covered: Statement of the Primary Decomposition Theorem Decomposition into invariant subspaces Role of minimal polynomial Primary components and their properties Connection with invariant direct sums Applications in diagonalization and canonical forms 🎯 This video is useful for: IIT JAM Mathematics TIFR / NBHM preparation GATE Mathematics BSc / MSc Mathematics students 📌 This theorem is crucial for: ➡ Jordan Canonical Form ➡ Operator decomposition ➡ Advanced linear algebra