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

  • question_answer
    If \[\left[ \begin{matrix}    2 & -3  \\    4 & 0  \\ \end{matrix} \right]-\left[ \begin{matrix}    a & c  \\    b & d  \\ \end{matrix} \right]=\left[ \begin{matrix}    1 & 4  \\    2 & -5  \\ \end{matrix} \right]\], then \[(a,b,c,d)=\]

    A) \[(1,\,6,\,2,\,5)\]

    B) (1, 2, 7, 5)

    C) (1, 2, -7, 5)

    D) (-1, -2, 7, -5)

    Correct Answer: C

    Solution :

    \[\left[ \begin{matrix}    2 & -3  \\    4 & 0  \\ \end{matrix} \right]-\left[ \begin{matrix}    a & c  \\    b & d  \\ \end{matrix} \right]=\left[ \begin{matrix}    1 & 4  \\    2 & -5  \\ \end{matrix} \right]\] Þ \[\left[ \begin{matrix}    a & c  \\    b & d  \\ \end{matrix} \right]=\left[ \begin{matrix}    2 & -3  \\    4 & 0  \\ \end{matrix} \right]-\left[ \begin{matrix}    1 & 4  \\    2 & -5  \\ \end{matrix} \right]=\left[ \begin{matrix}    1 & -7  \\    2 & 5  \\ \end{matrix} \right]\] Þ \[(a,b,c,d)=(1,\,\,2,\,\,-7,\,\,5)\].


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