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If [[3,2],[2,-3]]=A is such that kA^(-1)...

If `[[3,2],[2,-3]]=A` is such that `kA^(-1)=A` then K is :

A

`(1)/(13)`

B

9

C

11

D

13

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. If [[3,2],[2,-3]]=A is such that kA^(-1)=A then K is :

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  2. If adj A=[[2,1],[3,-1]], adj B=[[2,3],[-1,2]] then adj (AB) is :

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  3. The rank of the matrix [[2,-1,2,4],[3,1,4,-1],[5,0,6,3]] is :

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  4. If A=[[(4)/(5),(3)/(5)],[x,(4)/(5)]] and A^(T)=A^(-1) then x is :

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  5. If A is a square matrix of order 4 then |adj A| is :

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  6. If A=[[4,0],[1,2]] and B=[[1,3],[2,0]] then |adj AB| is :

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  7. If A[[1,-3],[1,4]]=[[7,0],[0,7]] then A is :

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

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

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

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

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

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

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

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  15. 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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  16. Match the following :

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  17. Find the incorrect statement in the following :

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  18. Find the incorrect statement in the following :

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  19. Find the correct statement :

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  20. Find the odd one out :

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