RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    If A and B are square matrices of order\[3\times 3,\] then which of the following is true?

    A)  \[AB=0\Rightarrow A=O\]or\[B=O\]

    B)  \[det(2AB)=8\text{ (}detA)\text{ (}detB)\]

    C)  \[{{A}^{2}}-{{E}^{2}}=(A+B)(A-B)\]

    D)  \[det(A+B)=det(A)+det(B)\]

    Correct Answer: B

    Solution :

     det (2AB) = 23 det[A] det[B] = 8 det[A] det[B]


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