JEE Main 20266 Apr, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002Let A=[100310931]A=\begin{bmatrix}1&0&0\\3&1&0\\9&3&1\end{bmatrix}A=139013001 and B=[bij]B=[b_{ij}]B=[bij], 1≤i,j≤31\le i,j\le 31≤i,j≤3. If B=A99−IB=A^{99}-IB=A99−I, then the value of b31−b21b32\dfrac{b_{31}-b_{21}}{b_{32}}b32b31−b21 is :AOption A. 99BOption B. 199COption C. 149DOption D. 159CheckSkip · show solution