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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2006

  • 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 \[O(A)=2\times 3,\] \[O(B)=3\times 2\]and \[O(C)=3\times 3\] \[\Rightarrow \]               \[O(A)=3\times 2,\] \[O(B)=2\times 3\]                 \[CB+A\] 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.        \[O(BA)=3\times 3\] and      \[O(C)=3\times 3\] \[\therefore \]Matrix BAC can be determined.                 \[C(A+B)\]                 \[O(A+B)=2\times 3\] \[\Rightarrow \]               \[O(A+B)=3\times 2\] and        \[O(C)=3\times 3\] \[\therefore \] Matrix \[C(A+B)\] can be determined.           \[C(A+B)\]                 \[O(A+B)=2\times 3\] and        \[O(C)=3\times 3\] \[\therefore \] Matrix \[C(A+B)\] cannot be determined \[\therefore \] Option (d) is correct.


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