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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Matrices

  • question_answer
    The element \[{{a}_{ij}}\] of square matrix is given by \[{{a}_{ij}}=(i+j)(i-j)\], then matrix A must be

    A) Skew-symmetric matrix

    B) Triangular matrix

    C) Symmetric matrix

    D) Null matrix

    Correct Answer: A

    Solution :

    [a] We have \[{{a}_{ji}}=(j+i)(j-i)=-(i+j)(i-j)=-{{a}_{ij}}\] Hence, matrix is skew -symmetric.


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