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  • Question 1
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    The value of \(B=\sum_{0 \leq r \leq s \leq n} \sum\left(C_{r}-C_{s}\right)^{2}\)is :

  • Question 2
    1 / -0

    (A + AB)T= XAT, X= ?

  • Question 3
    1 / -0

    If A and B are two square matrices of order n and A and B commute then for any real number K, then ?

  • Question 4
    1 / -0

    If
    \(A=\left[a_{i j}\right]_{3 \times 3}, B=\left[b_{i j}\right]_{2 \times 2}, C=\left[c_{i j}\right]_{3 \times 3}\)
    are three matrices so that
    \(|A|=3,|B|=-2,|C|=4,\) then \(|A B C|\)
    is equal to :

  • Question 5
    1 / -0

    If A, B are symmetric matrices of the same order then AB − BA is :

  • Question 6
    1 / -0

    The greatest value of positive integer which divides

    (r + 2) (r + 3) (r + 4) (r + 5) ∀r ∈ N is

  • Question 7
    1 / -0

    Let A and B be 3 × 3 matrices such that AT= −A, BT= B , then matrix (λAB + 3BA) is a skew symmertric matrix for :

  • Question 8
    1 / -0

    If A is a real skew-symmetric matrix such that A2+ I = O, then :

  • Question 9
    1 / -0

    If A is a symmetric matrix and nϵN then An is :

  • Question 10
    1 / -0

    If A is a 3rd order square diagonal matrix of non-positive entries such that A2= I, then :

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