Search results with tag "6 eigenvalues"

Chapter 6 Eigenvalues and Eigenvectors

Chapter 6 Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 1 An eigenvector x lies along the same line as Ax : Ax = λx. The eigenvalue is λ. 2 If Ax = λx then A2x = λ2x and A−1x = λ−1x and (A + cI)x = (λ + c)x: the same x. 3 If Ax = λxthen (A−λI)x = 0andA−λI is singularand det(A−λI) = 0. neigenvalues.

  Introduction, Eigenvalue, 6 eigenvalues