JEE Main 202621 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002For the matrices A=[3−41−1]A=\begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}A=[31−4−1] and B=[−2949−1318]B=\begin{bmatrix} -29 & 49 \\ -13 & 18 \end{bmatrix}B=[−29−134918], if (A15+B)[xy]=[00](A^{15}+B)\begin{bmatrix} x \\ y \end{bmatrix}=\begin{bmatrix} 0 \\ 0 \end{bmatrix}(A15+B)[xy]=[00], then among the following which one is true?AOption A. x=11,y=2x=11, y=2x=11,y=2BOption B. x=5,y=7x=5, y=7x=5,y=7COption C. x=18,y=11x=18, y=11x=18,y=11DOption D. x=16,y=3x=16, y=3x=16,y=3CheckSkip · show solution
