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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    If \[\left[ \begin{matrix}    x-y-x  \\    -y+z  \\    z  \\ \end{matrix} \right]=\left[ \begin{matrix}    0  \\    5  \\    3  \\ \end{matrix} \right],\]then the values of\[x,y\] and\[z\]are respectively

    A)  \[5,2,2\]                             

    B)  \[1,-2,3\]

    C)  \[0,-3,3\]           

    D)         \[11,8,3\]

    E)  \[4,1,3\]

    Correct Answer: B

    Solution :

    We have \[\left[ \begin{matrix}    x-y-z  \\    -y+z  \\    z  \\ \end{matrix} \right]=\left[ \begin{matrix}    0  \\    5  \\    3  \\ \end{matrix} \right]\] \[\Rightarrow \]               \[x-y-z=0\]                      ...(i) \[-y+z=5\]                         ...(ii) \[z=3\]                                   ...(iii) Solving Eqs. (i), (ii) and (iii), we get \[x=1,\text{ }y=-2\]and \[z=3\]


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