1. ## Eigenvalues and eigenlines/matrices

(a) Find the eigenvalues and eigenlines of the following matrix A. For each eigenvalue, give an eigenvector with integer components.
A =
(b) Express the matrix A in the form , where D is a diagonal matrix. You should evaluate P and .
(c) Use part (b) to find the matrix .
(d) Calculate the second and third points of the iteration sequence with recurrence relation = (n = 0,1,2,3...) for each of the following initial points.
(i) (-2, -4)
(ii) (0, 1)

Thanks

2. The matrix should have read

A = (-22 12)
( -36 20)