If the sum of eigenvalues of matrix \(A = \left[ {\begin{array}{*{20}{c}} {16}&9&7\\ { - 9}&{{k^2}}&3\\ 5&{16}&9 \end{array}} \right]\) is 29, then the possible values of k will be:

• A. 3, -2
• B. 2, -2
• C. 3, -3
• D. 2, 3