Question: For the given matrix A,

a) find the characteristic polynomial of A, (write answer using a space between each + or - symbol).

b) the eigenvalues of A (write answer in the form: λ₁,λ₂, ...),

c) the eigenvectors of A (write each vector in the format: for λ₁,<v₁,v₂,v₃,...>, for λ₂,<v₁,v₂,v₃,...>, etc.

If A is diagonalizable, find a matrix P such that P^-1 AP is diagonal.