CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    Assuming that the sums and products given below are defined which of the following is not true for matrices?

    A)  \[AB=AC\] does not imply \[B=C\]

    B)  \[A+B=B+A\]

    C)  \[(AB)=BA\]

    D)  \[AB=0\] implies \[A=0\] or \[B=0\]

    Correct Answer: A

    Solution :

    As [b], [c], [d] are always true but [a] show \[AB=AC\,\,\,\,\,\Rightarrow \,\,\,\,\,\left\{ \begin{align}   & B=C \\  & B\ne C \\ \end{align} \right\}\]


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