Let A be (n x n) real valued square symmetric matrix of rank 2 with \(\mathop \sum \limits_{i = 1}^n \mathop \sum \limits_{j = 1}^n A_{ij}^2 = 50\). Consider the following statements.(I) One eigenvalue must be in [–5, 5](II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of A is/are necessarily CORRECT?

Let A be (n x n) real valued square symmetric matrix of rank 2 with \(

1.	Let A be (n x n) real valued square symmetric matrix of rank 2 with \(\mathop \sum \limits_{i = 1}^n \mathop \sum \limits_{j = 1}^n A_{ij}^2 = 50\). Consider the following statements.(I) One eigenvalue must be in [–5, 5](II) The eigenvalue with the largest magnitude must be strictly greater than 5Which 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
Answer» C. II only