Q. 45 Let A be m×n real valued square symmetric matrix of rank 2 with expression given below.
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 engenvalues of A is/are necessarily CORRECT?
(A) Both (i) and (ii)
(B) (i) only
(C) (ii) only
(D) Neither (i) nor (ii)
Answer: (B)
Explanation: