JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

  • question_answer
    If\[A=\left[ \begin{matrix}    1 & 0 & 0  \\    2 & 1 & 0  \\    -3 & 2 & 1  \\ \end{matrix} \right]\]and\[B=\left[ \begin{matrix}    1 & 0 & 0  \\    -2 & 1 & 0  \\    7 & -2 & 1  \\ \end{matrix} \right]\] then AB equals.   JEE Main Online Paper (Held On 26-May-2012)  

    A) I              

    B)                        A

    C)                        B                            

    D)                        0

    Correct Answer: A

    Solution :

                    \[A=\left[ \begin{matrix}    1 & 0 & 0  \\    2 & 1 & 0  \\    -3 & 2 & 1  \\ \end{matrix} \right],B=\left[ \begin{matrix}    1 & 0 & 0  \\    -2 & 1 & 0  \\    7 & -2 & 1  \\ \end{matrix} \right]\] \[AB=\left[ \begin{matrix}    1 & 0 & 0  \\    0 & 1 & 0  \\    0 & 0 & 1  \\ \end{matrix} \right]=I\]               


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