RAJASTHAN ­ PET Rajasthan PET Solved Paper-2010

  • question_answer
    If each element of a\[3\times 3\] matrix is multiplied by 3, then the determinant of the newly formed matrix is

    A)  \[3|A|\]

    B)  \[9|A|\]

    C)  \[27|A|\]

    D)  \[|A{{|}^{3}}\]

    Correct Answer: C

    Solution :

     Determinant of matrix \[A=|A|\] On multiplying every element of the matrix A, the determinant of newly formed matrix. \[=3.3.3|A|=27|A|\]


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