Please solve this 1^st year question as fast as possible (best in 1 hour), I will immediately give a helpful rating

{a} (6 marks) Let A be an invertible matrix. Let A be an eigenvalue of A, with corresponding eigenvector x. i. Show that A 7% I]. ii. Show that If} is an eigenvalue of A'1 with corresponding eigenvector x. 2 7 (b) (8 marks) Let A: ( 1 2 ). i. Find the eigenvalues of A. ii. For one of the eigenvalues you have f'oundJ calculate the corresponding eigenvector. iii. Make use of part (a) to determine an eigenvalue and a corresponding eigenvector of 2/3 7/3 1/3 2,/3 '