Two matrices A and B are given below:\(A = \left[ {\begin{array}{*{20}{c}}p&q\\r&s\end{array}} \right]\;;\;\;\;\;\;B = \left[ {\begin{array}{*{20}{c}}{{p^2} + {q^2}}&{pr + qs}\\{pr + qs}&{{r^2} + {s^2}}\end{array}} \right]\) If the rank of matrix A is N, then the rank of matrix B is

• A. N/2
• B. N – 1
• C. N
• D. 2 N