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

  • question_answer
    If \[\left[ \begin{matrix}    x+y & 2x+z  \\    x-y & 2z+w  \\ \end{matrix} \right]=\left[ \begin{matrix}    4 & 7  \\    0 & 10  \\ \end{matrix} \right]\], then values of\[x,y,z,w\]are [RPET 2002]

    A) 2, 2, 3, 4

    B) 2, 3, 1, 2

    C) 3, 3, 0, 1

    D) None of these

    Correct Answer: A

    Solution :

    Given, \[x+y=4\] ?..(i) and       \[x-y=0\]  .?(ii) After solving (i) and (ii), \[x=2,\,y=2\] \ \[2x+z=7\] Þ \[z=3\] and \[2z+w=10\] Þ \[w=4\].


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