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The inverse of A=[( cos theta, sin theta...

The inverse of `A=[( cos theta, sin theta),(-sin theta, cos theta)]` is

A

A

B

`-A`

C

`A^(T)`

D

`-A^(T)`

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

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

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  3. The inverse of A=[( cos theta, sin theta),(-sin theta, cos theta)] is

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  4. The inverse of [(sec theta, - tan theta),(-tan theta, sec theta)] is

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  5. A=[(2,3),(2,-1)]implies8A^(-1)=

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  6. If A=[(3,4),(7,9)] and AB=I then B=

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  7. If [(a,b),(c,d)] is invertible then

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  8. If [(x,y^(3)),(2,0)]=[(1, 8),(2,0)] then [(x,y),(2,0)]^(-1)=

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  9. If the matrix A is such that A[(-1,2),(3,1)]=[(-4,1),(7,7)] then A=

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  10. The matrix A satisfying the equation [(1,3),(0,1)]A=[(1,1),(0,1)] is

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  11. If [(2,1),(3,2)]A[(-3,2),(5,-3)]=[(1,0),(0,1)] then the matrix A=

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  12. If A is a matrix such that ((2,1),(3,2))A((1,1))=((1,1),(0,0)) then A=

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

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

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

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

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

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

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

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