(i) Calculate the characteristic polynomial and eigenvalues ofA(ii) For each eigenvalue, calculate the dimension of its eigenspace. (iii) Is A diagonalizable? explain your answer.

2. (25 points) Let A be the following matrix: (Asagidaki matris verilmis olsun) (i) Calculate the characteristic polynomial and eigenvalues of A. (A'nin karakteristik polinomunu ve ozdegerlerini bulunuz) (ii) For each eigenvalue, calculate the dimension of its eigenspace. (Her ozdeger icin ozuzayin boyutunu bulunuz.) (iii) Is A diagonalizable? explain your answer. (A kosegenlestirilebilinir mi? AciklayinIz.)