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Mathematics Test - 1
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  • Question 1/10
    5 / -1
    Multiplication of real valued square matrices of same dimension is:
  • Question 2/10
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    If a matrix A is Symmetric as well as Skew-Symmetric, then:
  • Question 3/10
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    If A is a skew-symmetric matrix, then A2 is
  • Question 4/10
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    lf the order of A is 4 × 3, the order of B is 4 × 5 and the order of C is 7 × 3, then the order of (ATB)T C T is

  • Question 5/10
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    If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&1\\ 1&0 \end{array}} \right]\), then the value of A4 is
  • Question 6/10
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    Consider the following question and decide which of the statements is sufficient to answer the question.

    Find the value of n, if

    Statements∶

    1. AB = A

    2. \(A\; = \;\left[ {\begin{array}{*{20}{c}} n&9\\ 2&1 \end{array}} \right] , B\; = \;\left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\)

  • Question 7/10
    5 / -1

    A square matrix A is called orthogonal if_______ where A’ is the transpose of A.

  • Question 8/10
    5 / -1
    If \(A = \left[ {\begin{array}{*{20}{c}} 3&2&5\\ 4&1&3\\ 0&6&7 \end{array}} \right] = \frac{1}{2} \cdot (P + Q)\) where P is symmetric and Q is skew symmetric matrix then P and Q are ?
  • Question 9/10
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    If a matrix has p elements, where is p a prime then what is the number of possible orders it can have ?
  • Question 10/10
    5 / -1
    Which one of the following matrices is an elementary matrix?
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