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If A = [(costheta,-sintheta),(sintheta,c...

If `A = [(costheta,-sintheta),(sintheta,costheta)]`, then the matrix `A^(-50)`, when `theta = (pi)/(12)`, is equal to

A

`[(1/2,sqrt3,2),(-sqrt3/2, 1/2)]`

B

`[(sqrt3/2, -1/2),(1/2,sqrt3/2)]`

C

`[(sqrt3/2,1/2),(-1/2, sqrt3/2)]`

D

`[(1/2, -sqrt3/2),(sqrt3/2,1/2)]`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  7. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

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  8. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

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  9. If [x] denotes the greatest integer le x, then the system of liner equ...

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  10. Let lambda be a real number for which the system of linear equations ...

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  15. The set of all values of lambda for which the system of linear equatio...

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  17. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

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  18. The number of possible value of theta lies in (0,pi), such that system...

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