JEE Main 20268 Apr, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002Let A=[α12230045]A=\begin{bmatrix}\alpha&1&2\\2&3&0\\0&4&5\end{bmatrix}A=α20134205 and B=[1000−5α004α−2α]+adj(A)B=\begin{bmatrix}1&0&0\\0&-5\alpha&0\\0&4\alpha&-2\alpha\end{bmatrix}+\mathrm{adj}(A)B=1000−5α4α00−2α+adj(A). If det(B)=66\det(B)=66det(B)=66, then det(adj(A))\det(\mathrm{adj}(A))det(adj(A)) equals :AOption A. 289BOption B. 361COption C. 441DOption D. 529CheckSkip · show solution
