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

If `A=[[-4,4,4],[-7,1,3],[5,-3,-1]], B=[[1,-1,1],[1,-2,-2],[2,1,3]]` and AB = BA, then `B^(-1)=kA` then k is :

A

`(1)/(2)`

B

8

C

`(1)/(8)`

D

2

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The correct Answer is:
C
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. If A=[[3,-1,0],[2,4,1],[-2,-3,5]] the cofactor of 1 is :

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

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  3. 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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  4. Match the following :

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  5. Find the incorrect statement in the following :

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  6. Find the incorrect statement in the following :

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  7. Find the correct statement :

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  8. Find the odd one out :

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

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

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

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

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

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

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  15. Find the correct statement in the following :

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  16. Which of the following is not an elementary transformation ?

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  17. In a system equations if Delta = 0, then which of the following is tru...

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  18. Which one of the following is the Echelon form :

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  19. The inverse of A=[[cos theta, sin theta],[-sin theta,cos theta]] is :

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  20. Find the correct pair from the following (i) In a system of equat...

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