JEE Main 201912 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If B=[52α1021α3−1]B = \left[ {\matrix{ 5 & {2\alpha } & 1 \cr 0 & 2 & 1 \cr \alpha & 3 & { - 1} \cr } } \right]B=50α2α2311−1 is the inverse of a 3 × 3 matrix A, then the sum of all values of α\alphaα for which det(A) + 1 = 0, is :AOption A. 2BOption B. - 1COption C. 0DOption D. 1CheckSkip · show solution