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

  • question_answer
    The value of a for which the matrix \[A=\left( \begin{matrix}    a & 2  \\    2 & 4  \\ \end{matrix} \right)\]is singular if [Kerala (Engg.)2002]

    A) \[a\ne 1\]

    B) \[a=1\]

    C) \[a=0\]

    D) \[a=-1\]

    Correct Answer: B

    Solution :

    Put \[a=1\]; \[\therefore \] \[|A|=\left| \,\begin{matrix}    1 & 2  \\    2 & 4  \\ \end{matrix}\, \right|=4-4=0\] Hence, A is a singular matrix for a = 1.


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