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[(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n i...

`[(2,-1),(3,-2)]^(n)=[(1,0),(0,1)]` if n is

A

even

B

odd

C

any natural number

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If the matrix A=[(1,-1),(-1,1)] then A^(n+1)=

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

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  3. [(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n is

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  4. If A^(2)=2A-I then for n>=2,A^(n)=

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  5. fi A=[(1,1),(1,1)] then A^(3)=

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  6. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  7. Find the rank of the matrix A=[(1,4),(0,1)],

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  8. If A=[(1,0,0),(1,0,1),(0,1,0)] Then tra(A)

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  9. If A=[(1,1,0),(0,1,1),(0,0,1)] then A^(2)=

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  10. if n is a positive integer and A=[(a,0,0),(0,b,0),(0,0,c)] then A^(n) ...

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  11. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  12. If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim(nto oo...

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  13. If A=[(-cos theta, sin theta),(sin theta, cos theta)] then IAI=

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  14. If A=[(cos^(2) alpha, cos alpha sin alpha),(cos alpha sin alpha,sin^(2...

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

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

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

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

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

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

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