​ Let A = [0 -2 2 0] and M = Σ^10 _ k = 1 A^2K ; N = Σ^10 _ k = 1 A^2K-1 then MN^2 is ​

Question

Let \(A = \begin{bmatrix}0&-2\\2&0\end{bmatrix}\) and \(M = \sum\limits^{10}_{k = 1}A^{2K}\); \(N= \sum\limits^{10}_{k = 1}A^{2K - 1}\) then MN² is

(1) symmetric matrix

(2) skew symmetric matrix

(3) identify matrix

(4) singular matrix

Answer 1

Correct option is (1) symmetric matrix