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If A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc...

If `A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))], B=[(0,c,-b),(-c,0,a),(b,-a,0)]` then `AB=`

A

`[(a,b,c),(b,c,a),(c,a,b)]`

B

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

C

`[(a,0,0),(0,b,0),(0,0,c)]`

D

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

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If A=[(1,-1),(3,4),(-1,5)],B=[(-1,2),(3,1)] then AB=

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  2. 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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  3. 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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  4. If A=[(1,0,1)],B=[(2,1),(1,0),(3,2)] thenAB=

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

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

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

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

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

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

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

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

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

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  15. If AB=A,BA=B then A^(2)+B^(2)=

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  16. If A and B are two matrices such that AB and A+B are both defined, the...

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  17. Let ((1,2),(3,4)) and B=((a,0),(0,b)), a, b epsilon N. Then

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

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

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

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