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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 37

  • question_answer
    If A is \[3\times 4\] matrix and B is a matrix such that A'B and BA' both are defined, then B is of the type-

    A) \[3\times 4\]

    B)        \[3\times 3\]

    C) \[4\times 4\]      

    D)        \[4\times 3\]

    Correct Answer: A

    Solution :

    [a] \[{{A}_{3\times 4}},B=?\] \[A'\times B\] = defined \[\Rightarrow \] No. of columns in A' = No. of rows in B \[\Rightarrow \] No. of rows in A = No. of rows in B = 3 B.A' in defined \[\Rightarrow \] No. of columns in B = No. of rows in A' = No. of columns in A = 4 \[\therefore \] order of \[B=3\times 4\]       


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