DO NOT USE AI TO ANSWER THE QUESTION! I WILL REPORT YOU.

Exercise 2 (Finding eigenvalues): Find the characteristic polyno- mial, eigenvalues, and eigenvectors for the following linear maps. In the first two cases, if the matrix A is diagonalizable, then find an invertible matrix B and a diagonal matrix D so that A = BDB-1 3 -2 0 (1) -2 : C3 - C3 0 NOW 1 (2) 6 -1 0 : C3 - C3 -1 -2 -1 (3) The linear map T : V -> V where V is the vector space of polynomials of degree at most 2 with coefficients in C and T(f) = (x +1)f'