JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Types of matrices, Algebra of matrices

  • question_answer
    If A and B are two matrices such that A+B and AB are both defined, then [Pb. CET 1990]

    A) \[A\]and B are two matrices not necessarily of same order

    B) A and B are square matrices of same order

    C) Number of columns of A= Number of rows of B

    D) None of these

    Correct Answer: B

    Solution :

    \[A+B\]is defined    Þ A and B are of same order Also AB is defined Þ  Number of columns in A = Number of rows in B Obviously, both simultaneously mean that the matrices A and B are square matrices of same order.


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