2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Determinants & Matrices

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

  • question_answer
    If A is a square matrix of order 3 with \[\left| A \right|\ne 0,\] then which one of the following is correct?

    A) \[\left| adj\,A \right|=\left| A \right|\]

    B) \[\left| adj\,A \right|={{\left| A \right|}^{2}}\]

    C) \[\left| adj\,A \right|={{\left| A \right|}^{3}}\]

    D) \[{{\left| adj\,A \right|}^{2}}=\left| A \right|\]

    Correct Answer: B

    Solution :

    [b] \[\left| adj \right.A{{\left| = \right|}^{n-1}}\] {n is order od square matrix} If A is square matrix of order 3, then \[\left| adj \right.A\left| = \right|{{\left. A \right|}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner