JEE Main 202628 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A, B and C be three 2×22\times22×2 matrices with real entries such that B=(I+A)−1B=(I+A)^{-1}B=(I+A)−1 and A+C=IA+C=IA+C=I. If BC=[1−5−12]BC=\begin{bmatrix}1&-5\\-1&2\end{bmatrix}BC=[1−1−52] and CB[x1x2]=[12−6]CB\begin{bmatrix}x_1\\x_2\end{bmatrix}=\begin{bmatrix}12\\-6\end{bmatrix}CB[x1x2]=[12−6], then x1+x2x_1+x_2x1+x2 isAOption A. 2BOption B. 0COption C. -2DOption D. 4CheckSkip · show solution
