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

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

A

O

B

I

C

`(a^(2)+b^(2)=c^(2))A`

D

`-(a^(2)+b^(2)+c^(2))A`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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  13. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

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

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  15. If A=[(2),(0),(1)],B-[(4,-2,5)],C=[(0,1),(1,0),(-1,1)] then ABC=

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  16. If [[x,4,-1]][(2,1,0),(1,0,2),(0,2,4)][(x),(4),(-1)]=0 then x=

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  17. If A=[(x,1),(1,0)] and A^(2)=I then x=

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  18. If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (...

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  19. If A=[(4,1,0),(1,-2,2)],B=[(2,0,-1),(3,1,4)],C=[(1),(2),(-1)] and (3B-...

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  20. If A,b are two square matrices such that AB=A,BA=B then A,B are

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