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If A=[(0,1),(1,0)] then A^(4)=...

If `A=[(0,1),(1,0)]` then `A^(4)=`

A

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

B

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

C

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

D

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

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. Let ((1,2),(3,4)) and B=((a,0),(0,b)), a, b epsilon N. Then

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  2. If A=((1,-2),(4,5)) and f(t)=t^(2)-3t+7 then f(A)+((3,6),(-12,-9))=

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  3. If A=[(0,1),(1,0)] then A^(4)=

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  4. If the matrix A=[(1,-1),(-1,1)] then A^(n+1)=

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

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  6. [(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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