(a) Find the eigenvalues and bases for the eigenspaces for A = [ 1 0 0 0 1 1 0 1 1 ] (b) What will be the eigenvalues and bases for the eigenspaces for A 9 . Justify your answer clearly. (c) Is A...

(a) Find the eigenvalues and bases for the eigenspaces for A = [
1 0 0
0 1 1
0 1 1
]
(b) What will be the eigenvalues and bases for the eigenspaces for A
9
. Justify your answer clearly.

(c) Is A diagonalizable? If yes, then find the matrix P that diagonalize A, i.e., P

−1AP = D

(d) Using the concept of above diagonalization, compute A
9