JEE Main 202224 Jun, Morning shiftMathematicsHardMatrices and Determinants245× since 2002Let S = {n\sqrt{n}n : 1 ≤\le≤ n ≤\le≤ 50 and n is odd}. Let a ∈\in∈ S and A=[10a−110−a01]A = \left[ {\matrix{ 1 & 0 & a \cr { - 1} & 1 & 0 \cr { - a} & 0 & 1 \cr } } \right]A=1−1−a010a01. If ∑a ∈ Sdet(adj A)=100λ\sum\limits_{a\, \in \,S}^{} {\det (adj\,A) = 100\lambda }a∈S∑det(adjA)=100λ, then λ\lambdaλ is equal to :AOption A. 218BOption B. 221COption C. 663DOption D. 1717CheckSkip · show solution
