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If A=[(cos theta, sin theta),(- sin thet...

If `A=[(cos theta, sin theta),(- sin theta, cos theta)]` then `lim_(nto oo)1/n A^(n)` is

A

a null matrix

B

an identity matrix

C

`[(0,1),(-1,0)]`

D

none of these

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
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  4. If A=[(-cos theta, sin theta),(sin theta, cos theta)] then IAI=

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  6. If alpha-beta=(2n+1)(pi)/2, n epsilon Z then [(cos^(2) alpha, cos alph...

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  7. If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then A(a...

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  8. If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=

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  9. If A=[(0,c,-b),(-c,0,a),(b,-a,0)] then A^(3)=

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  10. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A^(3)=

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  11. If A=[(1,1,-2),(0,1,4),(2,3,1)] then A^(3)-3A^(2)-5A=

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  12. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

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  13. If A=[(4,2),(-1,1)] then (A-21) (A-3I)=

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  14. If A=[(8,-6,2),(-6,7,-4),(2,-4,3)] then A(A-3I)(A-15I)=

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

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  16. If A=[(1,3),(3,4)] and A^(2)-kA-5I(2)=O then k=

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  17. If A=[(-8,5),(2,4)] satisfies the equation f(x)=x^(2)+4x-p=0 then p=

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  18. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

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  20. [(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]=

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