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A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=...

`A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=`

A

`2A`

B

`2I`

C

`A`

D

`I`

Text Solution

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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 A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))] and a^(2)+b^(2)+c^(2)...

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

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  3. A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=

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  4. A=[(i,-i),(-i,i)],B=[(1,-1),(-1,1)]impliesA^(8)=

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  5. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)] then

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  6. If A=[(2,1),(1,3)],B=[(3,2,0),(1,0,4)] then AB=

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  7. If A=[(1,-1),(3,4),(-1,5)],B=[(-1,2),(3,1)] then AB=

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  8. If A=[(1,3,0),(-1,2,1),(0,0,2)],B=[(2,3,4),(1,2,3),(-1,1,2)] then AB=

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  9. If A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))], B=[(0,c,-b),(-c,0,a)...

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  10. If A=[(1,0,1)],B=[(2,1),(1,0),(3,2)] thenAB=

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  11. If A=[(1),(2),(3)],=[(-1,3,2)] then AB=

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  12. If A=[(3,4),(-2,0)],B=[(2),(1)] then AB=

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

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  14. If A and B are two square matrices of order n , and A and B commute, t...

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  15. If A=[(1,4),(2,9)], B=[(9,-4),(-2,1)] then

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  16. If A=[(1,0,2),(0,1,2),(1,2,0)],B=[(1,-2,3),(2,3,-1),(-3,1,2)] then

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  17. If A=[(0,-1),(1,0)],B=[(0,i),(i,0)] then

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  18. If A=[(2,0),(3,0)],B=[(0,0),(1,2)],C=[(0,0),(3,4)] then

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  19. If A=[(i,0),(0,-i)],B=[(0,-1),(1,0)],C=[(0,i),(i,0)] then

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  20. If A=[(i,0),(0,-i)],B=[(0,-1),(1,0)],C=[(0,i),(i,0)] then

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