JEE Main 202225 Jun, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A=[0−220]A = \left[ {\matrix{ 0 & { - 2} \cr 2 & 0 \cr } } \right]A=[02−20]. If M and N are two matrices given by M=∑k=110A2kM = \sum\limits_{k = 1}^{10} {{A^{2k}}}M=k=1∑10A2k and N=∑k=110A2k−1N = \sum\limits_{k = 1}^{10} {{A^{2k - 1}}}N=k=1∑10A2k−1 then MN² is :AOption A. a non-identity symmetric matrixBOption B. a skew-symmetric matrixCOption C. neither symmetric nor skew-symmetric matrixDOption D. an identity matrixCheckSkip · show solution
