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If A=[(1,1,1),(1,2,-3),(2,-1,3)] then Ad...

If `A=[(1,1,1),(1,2,-3),(2,-1,3)]` then `AdjA=`

A

`[(3,-4,-5),(-9,1,-4),(-5,-3,1)]`

B

`[(3,4,5),(-9,1,-4),(5,-3,1)]`

C

`[(3,-4,-5),(-9,1,4),(-5,3,1)]`

D

`[(3,-9,-5),(-4,1,3),(-5,4,1)]`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
  1. If A is a matrix such that ((2,1),(3,2))A((1,1))=((1,1),(0,0)) then A=

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

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  3. If A=[(1,1,1),(1,2,-3),(2,-1,3)] then AdjA=

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  4. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] then adjA=

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  5. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)], then A^(T)

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  6. Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)]implies[(a,...

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  7. The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is

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  8. The inverse of [(0,1,0),(1,0,0),(0,0,1)] is

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  9. The matrix having the same matrix as its inverse is

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  10. The inverse of [(3,5,7),(2,-3,1),(1,1,2)] is

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  11. The inverse of [(1,3,3),(1,4,3),(1,3,4)] is

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  12. The inverse of [(1,2,-3),(0,1,2),(0,0,1)] is

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  13. The inverse of the matrix [(7,-3,3),(-1,1,0),(-1,0,-1)] is

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  14. The inverse of [(cos theta, -sin theta, 0),(sin theta, cos theta, 0),(...

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

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  16. If A=[(1,2,2),(2,1,-2),(-2,2,-1)] thenA^(T)=

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  17. IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3.

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  18. A=((1,0,1),(0,1,1),(0,1,0))impliesA^(2)-2A=

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  19. If A=[(cosx, sin x, 0),(-sin x, cosx, 0),(0,0,1)]=f(x) then A^(T)=

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  20. A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),...

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