Let A =\(\left[\begin{array}{rr}0 & −2 \\ 2 & 0\end{array}\right] \). If M and N are two matrices given by M = \(\displaystyle\sum_{k=1}^{10}\) A2k and N = \(\displaystyle\sum_{k=1}^{10}\) A2k−1 then MN2 is :
1
a non-identity symmetric matrix
2
a skew-symmetric matrix
3
neither symmetric nor skew−symmetric matrix
4
an identity matrix