Hi can someone please help me with this question and show full working so i can follow

{e} [6 marks} Let A be a square matrix with eigenvector v1 and corresponding eigenvalue A. Let c be a scalar. Show that A cf has eigenveetor v, and corresponding eigenvalue .1. c. 3 2 [b] {Bmerks} LetA=(5 D)- i. Find the eigenvalues of A. ii. For one of the Eigenvalues you have found. calculate the corresponding Eigenveotor. iii. Make use of part {a} to determine an eigenvalue and 3, corresponding eigenveetor of(2 2). 51