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

  • question_answer
    If A is a square matrix of order n and \[A=k\]B, where k is a scalar, then |A|= [Karnataka CET 1992]

    A) |B|

    B) \[k|B|\]

    C) \[{{k}^{n}}\]|B|

    D) \[n|B|\]

    Correct Answer: C

    Solution :

    \[|A|={{k}^{n}}|B|\], by fundamental concept.


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