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

  • question_answer
    If two matrices A and B are of order p × q and r × s respectively, can be subtracted only, if [RPET 2000]

    A) \[p=q\]

    B) \[p=q,r=s\]

    C) \[p=r,q=s\]

    D) None of these

    Correct Answer: C

    Solution :

    For subtraction of two matrix, they should be of the same order i.e. \[abc\,\left( 1+\sum \frac{1}{a} \right)\,\left| \,\begin{matrix}    1 & \frac{1}{b} & \frac{1}{c}  \\    0 & 1 & 0  \\    0 & 0 & 1  \\ \end{matrix}\, \right|\] \[q=s\].


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