Let A be n × n real valued square symmetric matrix of rank 2 with \[\sum\limits_{{\text{i}} = 1}^{\text{n}} {\sum\limits_{{\text{j}} = 1}^{\text{n}} {{\text{A}}_{{\text{ij}}}^2} } = 50.\]    Consider the following statements.
I. One eigen value must be in [-5, 5]
II. The eigen value with the largest magnitude must be strictly greater than 5.
Which of the above statements about eigen values of A is/are necessarily CORRECT?

A. Both I and II

B. I only

C. II only

D. Neither I nor II

Answer: Option B