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Matrices and De...

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  • Question 1
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  • Question 2
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    If    , then   is equal to  

  • Question 3
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  • Question 4
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    If the order of matrix A is m*p. And the order of B is p ×n. Then the order of matrix AB is ?

  • Question 5
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    If each element of a  3  × 3  matrix A is multiplied by 3 , then the determinant of the newly formed matrix is

  • Question 6
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    One root of the equation   

  • Question 7
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  • Question 8
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    The determinant   is equal to  

  • Question 9
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  • Question 10
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    If A is a non singular matrix of order 3 , then  |adj(adjA)|

  • Question 11
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  • Question 12
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    The only integral root of the equation det.   is

  • Question 13
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    If 1/a+1/b+ 1/c = 0 , then   

  • Question 14
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    If A is a non singular matrix and A ’denotes the transpose of A , then

  • Question 15
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    If the matrix AB = O , then

  • Question 16
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    If A ,B andC be the three square matrices such that A = B + C , then Det A is equal to

  • Question 17
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    Solution set of the equation  

  • Question 18
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    A determinant is unaltered , if

  • Question 19
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    If A and B are square matrices of order 3 , such that Det.A = –1 , Det.B = 3 then the determinant of 3AB is equal to

  • Question 20
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  • Question 21
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    If 1 , ω,ω2 are cube roots of unity , then    has value

  • Question 22
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    Solution set of the equation  

  • Question 23
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  • Question 24
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    The system AX = B of n equations in n unknowns has infinitely many solutions if

  • Question 25
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    If A is a square matrix such that  A3  = I , then  A−1  is equal to

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