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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        If\[O(A)=2\times 3,O(B)=3\times 2,\]and\[O(C)=3\times 3,\]which one of the following is not defined?

    A)  \[CB+A\]                            

    B)  \[BAC\]

    C)  \[C(A+B)\]                        

    D)  \[C(A+B)\]

    Correct Answer: D

    Solution :

                    Given that\[O(A)=2\times 3,\text{ }0(B)=3\times 2\]and \[O(C)=3\times 3\] \[\Rightarrow \]               \[O(A)=3\times 2,O(B)=2\times 3\]  (a)         \[CB+A\] Now order of CB = (order of C) (order of B) = (order of C is\[3\times 3\]) (order of B is\[3\times 2\]) = order of CB is\[3\times 2\] Since,      \[O(A)=3\times 2\] \[\therefore \]Matrix\[CB+A\]can be determined.       (b)  \[O(BA)=3\times 3\] and         \[O(C)=3\times 3\] \[\therefore \]Matrix BAC can be determined.       (c)    \[C(A+B)\] \[O(A+B)=2\times 3\] \[\Rightarrow \]               \[O(A+B)=3\times 2\] and        \[O(C)=3\times 3\] \[\therefore \]Matrix\[C(A+B)\]can be determined. (d)          \[C(A+B)\] \[O(A+B)=2\times 3\] and          \[O(C)=3\times 3\] \[\therefore \]Matrix\[C(A+B)\]cannot be determined \[\therefore \]Option  is correct.


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