MATLAB CODE PLEASE and please pay attention to the last demand in exercise 11-12

In Exercises 11 - 12, use MATLAB to compute (a) the eigenvalues, traces, and characteristic poly- nomials of the given matrix. (b) Use the results from part (a) to confirm Theorems 4.3.7 and 4.3.9. 11. A -12-19 -12 10 4 :-2 -9 17 -12 -1 -3 14 0 14 -19 8 1 7 -3 -12 --5 -8 7 13 -12 12. 1 oo B -12 -5 13 -6 -5 12 7 14 1 18 -8 14 13 9 2 2 4 6 -8 -2 15 -14 0-6 14 8 -13 8 16 -8 3 5 19 3 5 13. Use MATLAB to compute the characteristic polynomial of the following matrix: 4-6 7 2 05 -10 25 Denote this polynomial by PA(X) = -(13 +212 + pil+ po). Then compute the matrix B--(A + P2 AP +PIA+ pol). What do you observe? In symbols BPA(A). Compute the matrix B for examples of other square matrices A and determine whether or not your observation was an accident. In Exercises 11 - 12, use MATLAB to compute (a) the eigenvalues, traces, and characteristic poly- nomials of the given matrix. (b) Use the results from part (a) to confirm Theorems 4.3.7 and 4.3.9. 11. A -12-19 -12 10 4 :-2 -9 17 -12 -1 -3 14 0 14 -19 8 1 7 -3 -12 --5 -8 7 13 -12 12. 1 oo B -12 -5 13 -6 -5 12 7 14 1 18 -8 14 13 9 2 2 4 6 -8 -2 15 -14 0-6 14 8 -13 8 16 -8 3 5 19 3 5 13. Use MATLAB to compute the characteristic polynomial of the following matrix: 4-6 7 2 05 -10 25 Denote this polynomial by PA(X) = -(13 +212 + pil+ po). Then compute the matrix B--(A + P2 AP +PIA+ pol). What do you observe? In symbols BPA(A). Compute the matrix B for examples of other square matrices A and determine whether or not your observation was an accident