Eigenvalue Problem | Find Eigenvalues & Eigenvectors of a 3×3 Matrix (Step-by-Step)

In this lecture, we solve the eigenvalue problem for a 3×3 matrix, step by step. You’ll learn how to compute eigenvalues using the characteristic equation and then find the corresponding eigenvectors clearly and systematically. This method is essential in linear algebra, with applications in engineering, physics, and computer science, including system stability, vibration analysis, and principal component analysis (PCA). What you’ll learn: Definition of the eigenvalue problem Av=λv Finding eigenvalues for a 3×3 matrix Finding eigenvectors for each eigenvalue Interpreting results in real-world applications 🎓 This video is part of the Linear Algebra Series for university students and engineers. 00:00 – Introduction to the eigenvalue problem 02:00 – Example: 3×3 matrix #LinearAlgebra #Eigenvalues #Eigenvectors #Matrix #CharacteristicEquation #MathLecture #EngineeringMath #MatrixAlgebra #Mathematics #MathForEngineers