JEE Main 202229 Jun, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let M=[0−αα0]M = \left[ {\matrix{ 0 & { - \alpha } \cr \alpha & 0 \cr } } \right]M=[0α−α0], where α\alphaα is a non-zero real number an N=∑k=149M2kN = \sum\limits_{k = 1}^{49} {{M^{2k}}}N=k=1∑49M2k. If (I−M2)N=−2I(I - {M^2})N = - 2I(I−M2)N=−2I, then the positive integral value of α\alphaα is ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
