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If A is a non singular matrix such that ...

If A is a non singular matrix such that `A^(-1)=[[7,-2],[-3,1]]` then `(A^(T))^(-1)` is :

A

`[[-7,2],[3,-1]]`

B

`[[7,-3],[-2,1]]`

C

`[[1,2],[3,7]]`

D

`[[2,1],[7,3]]`

Text Solution

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The correct Answer is:
B
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. If A[[1,-3],[1,4]]=[[7,0],[0,7]] then A is :

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  2. If P=[[1,0,x],[3,0,1],[-1,-2,4]] is the adjoint of (3xx3) matrix A and...

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  3. If A is a non singular matrix such that A^(-1)=[[7,-2],[-3,1]] then (A...

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  4. If A=[[2,3],[3,5]] and A(adj A) =[[k,0],[0,k]] then k is :

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  5. If x^(2)y^(3)=e^(5), x^(3)y^(4)=e^(7) then y is :

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  6. The angumented matrix of a system of linear equation is [[1,3,-2,5],[0...

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  7. If A=[[3,-1,0],[2,4,1],[-2,-3,5]] the cofactor of 1 is :

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  8. If A=[[2,5],[1,3]], 5I-A= :

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  9. If A=[[-4,4,4],[-7,1,3],[5,-3,-1]], B=[[1,-1,1],[1,-2,-2],[2,1,3]] and...

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  10. Match the following :

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  11. Find the incorrect statement in the following :

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  12. Find the incorrect statement in the following :

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  13. Find the correct statement :

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  14. Find the odd one out :

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  15. Find the odd one out : If A=|[3,7],[4,9]| then its inverse is :

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  16. If A is a matrix of order (2xx3) then A^(-1) will be :

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  17. Two matrices A and B equivalent. Find which is correct :

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  18. If A=|[0,1,a],[1,a,0],[a,0,1]| is invertible matrix then a ne :

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  19. If the system lambda x + 2y = mu and 7x+2y=5 have many solution is :

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  20. The rank of [[1,2,3],[4,5,6]] is :

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