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

  • question_answer
    If \[\left[ \begin{matrix}    x & 0  \\    1 & y  \\ \end{matrix} \right]+\left[ \begin{matrix}    -2 & 1  \\    3 & 4  \\ \end{matrix} \right]=\left[ \begin{matrix}    3 & 5  \\    6 & 3  \\ \end{matrix} \right]-\left[ \begin{matrix}    2 & 4  \\    2 & 1  \\ \end{matrix} \right]\], then [RPET 1994]

    A) \[x=-3,y=-2\]

    B) \[x=3,y=-2\]

    C) \[x=3,y=2\]

    D) \[x=-3,y=2\]

    Correct Answer: B

    Solution :

    Since\[x-2=3-2\Rightarrow x=3\] and\[y+4=3-1\Rightarrow y=-2\].


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