Let A be the following matrix: 0 4 -1 0 -1 4 (a) Enter its characteristic equation below. Note you must use p as the parameter instead of X, and you must enter your answer as a equation, with the equals sign. -p^3+11°p^2-39*p+45=1 (b) Enter the eigenvalues of the matrix, including any repetition. For example 16,16,24. 3,3,5 (c) Hence find a matrix P which orthogonally diagonalises A To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can. ab sin (a) Ω f х 8 R