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The inverse of the matrix [(1,0,0),(3,3,...

The inverse of the matrix `[(1,0,0),(3,3,0),(5,2,-1)]` is

A

`-(1)/(3)[(-3,0,0),(3,1,0),(9,2,-3)]`

B

`-(1)/(3)[(-3,0,0),(3,-1,0),(-9,-2,3)]`

C

`-(1)/(3)[(3,0,0),(-3,-1,0),(-9,-2,3)]`

D

`-(1)/(3)[(-3,0,0),(-3,-1,0),(-9,-2,3)]`

Text Solution

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The correct Answer is:
b
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. What is the inverse of A=[{:(0,0,1),(0,1,0),(1,0,0):}]?

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  2. If A=[(1,-1,0),(1,0,0),(0,0,-1)], then A^(-1) is

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  3. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

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  4. The inverse matrix of A=[(0,1,2),(1,2,3),(3,1,1)] is

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  5. The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-...

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  6. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then A^(-1)=

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  7. if A=[a(ij)](2*2) where a(ij)={i+j , i!=j and a(ij)=i^2-2j ,i=j then A...

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  8. The element of second row and third column in the inverse of [[1, 2, 1...

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  9. The element in the first row and third column of the inverse of the ma...

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  10. If A=[(0,1,2),(1,2,3),(3,1,1)], then the sum of the all the diagonal e...

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  11. If matrix A=[(1,2),(4,3)] such that Ax =I then x=

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  12. The matrix A satisfying A[(1,5),(0,1)]=[(3,-1),(-1,4)] is

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  13. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

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  14. A=[{:(0,3),(2,0):}] and A^(-1)=lambda (adj, A) then lambda is equal to

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  15. Let A=[1 0 0 0 1 1 0-2 4],I=[1 0 0 0 1 0 0 0 1]a n dA^(-1)=[1/6(A^2+c ...

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  16. If I(3) is identity matrix of order 3, then I(3)^(-1)=

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  17. If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) non...

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  18. If A^(2) - A + I = 0 then A^(-1) is equal to

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  19. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

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  20. If A and B are square matrices of the same order and A is non-singular...

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