MIT
Lecture 4: Eigenvalues and Eigenvectors
Science & MathMathematicsEngineeringElectrical Engineering
Om kurset
Description Professor Strang begins this lecture talking about eigenvectors and eigenvalues and why they are useful. Then he moves to a discussion of symmetric matrices, in particular, positive definite matrices. Summary \(Ax =\) eigenvalue times \(x\) \(A^2x =\) (eigenvalue)\(^2\) times \(x\) Write other vectors as combinations of eigenvectors Similar matrix \(B = M^{-1}AM\) has the same eigenvalues as \(A\) Related section in textbook: I.6 Instructor: Prof. Gilbert Strang