Let A be n×n real valued square symmetric matrix of rank 2 with . Consider the following statements.
(I) One eigenvalue must be in [−5,5]
(II) The eigenvalue with the largest magnitude must be strictly greater than 5
Which of the above statements about eigenvalues of A is/are necessarily CORRECT?
(A) Both (I) and (II)
(B) (I) only
(C) (II) only
(D) Neither (I) nor (II)