Characteristic Roots (Eigenvalues), Eigenvectors & Eigenspace | Matrix Algebra | B.Sc. Maths 1st Sem

In this lecture of LMS Higher Mathematics, we will learn how to find the Characteristic Roots (Eigenvalues), Characteristic Vectors (Eigenvectors), and Eigenspace of a given matrix. Topics Covered: 1. Characteristic Roots (Eigenvalues) 2. Characteristic Vectors (Eigenvectors) 3. Eigenspace and its formula 4. Characteristic Equation of a Matrix 5. Finding Eigenvalues using the determinant method 6. Solving AX = λX to find Eigenvectors Important Formulas: Characteristic Equation: det(A − λI) = 0 Eigenvector Equation: AX = λX Eigenspace: Wλ = {X : AX = λX} Useful For: B.Sc. Mathematics, Linear Algebra, Matrix Algebra and Higher Mathematics. If you find this lecture helpful, please LIKE, SHARE and SUBSCRIBE to LMS Higher Mathematics for more Mathematics lectures. #Eigenvalues #Eigenvectors #LinearAlgebra #BScMathematics #LMSHigherMathematics #Eigenspace #CharacteristicEquation #LinearAlgebra #MatrixAlgebra #BScMathematics #HigherMathematics #LMSHigherMathematics