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MCQMediumJEE Main 2026 · 21 January, Shift 2Algebra of Matrices

Mathematics Question from JEE Main 2026 · 21 January, Shift 2

For the matrices A=[3−41−1]A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix} and B=[−2949−1318]B = \begin{bmatrix} -29 & 49 \\ -13 & 18 \end{bmatrix}, if (A15+B)[xy]=[00](A^{15} + B) \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}, then among the following which one is true?

  • A

    x=16,y=3x = 16, y = 3

  • B

    x=18,y=11x = 18, y = 11

  • C

    x=5,y=7x = 5, y = 7

  • D

    x=11,y=2x = 11, y = 2

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