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If A is of order mxxn and B is of order ...

If A is of order `mxxn` and B is of order `nxxp`, then AB is a matrix of order `mxxp`.

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Knowledge Check

  • If A is of order mxxn and B is of oredr pxxq , then AB is defined only if

    A
    m=q
    B
    m=p
    C
    n=p
    D
    n=q

  • Consider the following statements. I. The inverse of a square matrix, if it exists, is unique. II. If A and B are singular matrices of order n, then AB is also a singular matrix of order n. Which of the statements given above is/are correct ?

    A
    Only I
    B
    Only II
    C
    Both I and II
    D
    Neither I nor II

  • If A is a non-zero column matrix of order mxx1 and B is a non-zero row matrix order 1xxn , then rank of AB equals

    A
    m
    B
    n
    C
    1
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If A is a matrix of order 3xx7 and B is a matrix of order 7xx3 then what will be the order of the matrix AB and BA ?

    Consider the following statements. I. The inverse of the square matrix, if it exits, is unique. II. If A and B are singular matrices of order n. then AB is also a singular matrix of order n. Which of the statements given above is/are correct ?

    If A is a matrix of order 3xx4 and B is a matrix of order 4xx3, find the order of the matrix of AB.

    If is any matrix of order nxxp (n and p are integers) and I is an identity matrix of order nxxn , then the matrix M=1- X(X'X)^(-1)X ' is (i) idempotent matrix (ii) MX=O Choose the correct answer.

    If is any matrix of order nxxp (n and p are integers) and I is an identity matrix of order nxxn , then the matrix M=1- X(X'X)^(-1)X ' is (i) idempotent matrix (ii) MX=O Choose the correct answer.

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