JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Minors and Co-factors, Product of determinants

  • question_answer
    Let \[A={{[{{a}_{ij}}]}_{n\times n}}\]be a square matrix and let \[{{c}_{ij}}\]be cofactor of \[{{a}_{ij}}\]in A. If \[C=[{{c}_{ij}}]\],then

    A) \[|C|\,=\,|A|\]

    B)   \[|C|\,=\,|A{{|}^{n-1}}\]

    C) \[|C|\,=\,|A{{|}^{n-2}}\]

    D) None of these

    Correct Answer: B

    Solution :

    It is a fundamental concept


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