Matrix Algebra - Eigenvalues & Eigenvectors | Mathematics | Cayley-Hamilton Theorem | GATE скачать в хорошем качестве

Matrix Algebra - Eigenvalues & Eigenvectors | Mathematics | Cayley-Hamilton Theorem | GATE

In this video, we explore Eigenvalues and Eigenvectors in Linear Algebra with clear explanations, step-by-step procedures, and practical engineering applications. 📘 Topics Covered: 1. Introduction to Eigenvalues & Eigenvectors 2. Definition and Geometric Interpretation 3. Characteristic Equation (|A − λI| = 0) 4. Steps to Find Eigenvalues 5. Steps to Find Eigenvectors 6. Engineering Example – Stress Tensor & Principal Stresses 7. Cayley-Hamilton Theorem (2×2 and 3×3 Matrices) 8. Important Properties of Eigenvalues 9. Important Properties of Eigenvectors This lecture is especially useful for: ✔ Engineering Mathematics students ✔ Mechanical / Civil / Electrical students ✔ GATE aspirants ✔ University exam preparation ✔ Data Science & Machine Learning beginners Understand the physical meaning of principal stresses and how eigenvalues simplify stress analysis. Watch till the end for clear conceptual understanding and examples. #Eigenvalues #Eigenvectors #LinearAlgebra #EngineeringMathematics #MatrixAlgebra #CayleyHamiltonTheorem #CharacteristicEquation #PrincipalStresses #StressTensor #MathematicsLecture #GATEPreparation #MathsForEngineers #UniversityExam #AI #MachineLearningBasics