2 2 votes Linear Algebra linear-algebra engineering-mathematics gate2016-ee-2 + – rahul sharma 5 1.8k views answer comment Share Follow Print See 1 comment 1 1 comment reply joshi_nitish commented Jun 30, 2017 reply Follow flag eigen values will be 2,14... dont know about eigen vector.. 0 0 replyShare Please log in or register to add a comment.
1 1 vote Answer is A. 2, 14,x1,x2 Correct me if I am Wrong Arnab Bhadra answered Jun 30, 2017 Arnab Bhadra comment Share Follow See all 3 Comments 3 3 Comments reply rahul sharma 5 commented Jun 30, 2017 reply Follow flag So eigen vector of A^m is same as A and eigen vector of polynomial matrix equation given above will be same as A also? 0 0 replyShare Heisenberg commented Nov 30, 2017 reply Follow flag Yes... you can try for some examples the eigenvector for A turns out to be the same for A^m as well as the equation. 0 0 replyShare Ashwani Kumar 2 commented Nov 30, 2017 reply Follow flag @ Rahul Yes they are same, see this $ Ax = \lambda x \\ A^{^{2}}x = AAx = A\lambda x = \lambda Ax= \lambda \lambda x $ $A^{^{2}}x = \lambda^{2}x$ 1 1 replyShare Please log in or register to add a comment.
