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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Types of matrices, Algebra of matrices

  • question_answer
    If \[A=\left[ \begin{matrix}    1/3 & 2  \\    0 & 2x-3  \\ \end{matrix} \right],B=\left[ \begin{matrix}    3 & 6  \\    0 & -1  \\ \end{matrix} \right]\]and \[AB=I\], then x = [MP PET 1987]

    A) -1

    B) 1

    C) 0

    D) 2

    Correct Answer: B

    Solution :

      \[|adj\,A|\] (As given) \[\Leftrightarrow \,\,3-2x=1\] or \[x=1\].


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