question archive Consider the matrix A = N 1
Consider the matrix A = N 1
Subject:MathPrice: Bought3
Consider the matrix A = N 1. Compute the Characteristic Polynomial of A, and the Eigenvalues and Eigenvectors of A. 2. Using the Eigenvalues and Eigenvectors of A, find an orthonornal matrix P and a diagonal matrix D such that A = PDP-1. 3. Is the matrix A invertible? If yes, provide an expression of its inverse A-in terms of P and D, and provide also the eigenvalues of A-1. 4. Use R, Matlab or Python to verify your results from questions 1, 2 and 3.
