Let -1 0 0 4 0 0 0 0 4 -1 0 0 -1 4 (a) Find the characteristic polynomial of A. (b) Find the dimension of the eigenspace corresponding to the largest eigenvalue.

Lat 4 - [ -1 (a) Find the characteristic polynomial and the eigenvalues for A (you can give the characteristic polynomial in factored form). (b) Find the eigenvectors for A.

A = [2 -1 |-2 3] let it be. a) Write the characteristic polynomial of the matrix A b)Find the eigenvalues and eigenspaces corresponding to this matrix. c) Is matrix A diagonalizable? Show me. d) A^8 =? (Guidance: Do not apply matrix multiplication. D = (P^-1)AP make use of)

Compute the characteristic polynomial of and use it to get the eigenvalues.