1. Math
  2. Statistics And Probability
  3. 2 consider the matrix a by hand find the eigenvalues...

Question: 2 consider the matrix a by hand find the eigenvalues...

Question details

2. Consider the matrix (a) By hand, find the eigenvalues and eigenvectors of A. Please obtain eigenvectors of unit length. (b) Using the eigen function in R, verify your answers to part (a). (c) Use R to show that A is diagonalizable; that is, there exists a matrix of eigenvectors X and a diagonal matrix of eigenvalues D such that A XDX-1. The code below should help. eig <-eigen(A) #obtains the eigendecomposition and stores in the object eig X <-eigSvectors #stores the matrix of leigenvectors in the object X D <-diag(eig$values) #creates a diagonal matrix of eigenvalues
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution