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Matrices Test -...

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  • Question 1
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    A square matrix  A = [aij ]n ×n  is called a diagonal matrix if  aij  = 0 for

     

  • Question 2
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    If    and   then AB =

     

  • Question 3
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  • Question 4
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    If  In is the identity matrix of order n, the  (In)−1

     

  • Question 5
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    If A = [x y z],    and C = [xyt]t , then ABC is

     

  • Question 6
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    If a square matrix A has two identical rows or columns , then det.A is :

     

  • Question 7
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    For a skew symmetric odd ordered matrix A of integers, which of the following will hold true:

     

  • Question 8
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    Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?

     

  • Question 9
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    Let for any matrix M ,M−1 exist. Which of the following is not true.

     

  • Question 10
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    Rank of a non-zero matrix is always

     

  • Question 11
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    For a non-trivial solution | A | is

     

  • Question 12
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    If for a matrix A, A2 +I = O where I is the identity matrix, then A equals

     

  • Question 13
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  • Question 14
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    The system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y - kz = 4 has a unique solution if ,

     

  • Question 15
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    The value of k for which the system of equations, x + k y + 3 z = 0, 3 x + k y –2 z = 0, 2 x + 3 y –4 z = 0, have a non-trival solution is  

     

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