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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)`

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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. Match the following :

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  2. Find the incorrect statement in the following :

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  3. Find the incorrect statement in the following :

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  4. Find the correct statement :

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  5. Find the odd one out :

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

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

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

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

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

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

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  12. Find the correct statement in the following :

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

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

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

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

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

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  18. Find the odd one out :

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  19. Find the incorrect pair of statements : (i) Two matrices A and B...

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  20. Assertion : A matrix A is orthogonal if and only if A is non singular ...

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