J & K CET Engineering J and K - CET Engineering Solved Paper-2011

  • question_answer
    If A is a square matrix of order 3 and a is a real number, then determinant \[|\alpha \,\,\,A|\] is equal to

    A)  \[{{\alpha }^{2}}\,|\,\,A|\]

    B)  \[\alpha \,|\,\,A|\]

    C)  \[{{\alpha }^{3}}\,|\,\,A|\]

    D)  None of these

    Correct Answer: C

    Solution :

    Order of square matrix A is 3 and \[a\in R.\] Then, \[|\alpha \,A{{|}_{3\times 3}}={{\alpha }^{3}}|A{{|}_{3\times 3}}\]


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