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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Special types of matrices, Transpose, Adjoint and Inverse of matrices

  • question_answer
    A square matrix \[A=[{{a}_{ij}}]\] in which \[{{a}_{ij}}=0\] for \[i\,\ne j\] and \[{{a}_{ij}}=k\] (constant)  for \[i=j\] is called a  [EAMCET 2001]

    A) Unit matrix

    B) Scalar matrix

    C) Null matrix

    D) Diagonal matrix

    Correct Answer: B

    Solution :

    When \[{{a}_{ij}}=0\] for \[i\ne j\] and \[{{a}_{ij}}\] is constant for \[i=j,\] then the matrix \[{{[{{a}_{ij}}]}_{n\times n}}\] is called a scalar matrix.


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