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

If `A=[(1,5,3),(2,4,0),(3,-1,-5)]` and `B=[(2,-1,0),(0,-2,5),(1,2,0)]` then `3A-5B^(T)=`

A

`[(-7,15,4),(11,22,-10),(9,-28,-15)]`

B

`[(5,19,9),(6,20,-20),(5,-11,-15)]`

C

`[(-5,19,9),(6,20,-20),(5,-11,15)]`

D

`[(5,19,9),(6,-20,-20),(5,-11,15)]`

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A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If A=[(1),(0),(-1)],B=[(2,3,2)] then (A+B^(T))^(T)=

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

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  3. If A=[(1,5,3),(2,4,0),(3,-1,-5)] and B=[(2,-1,0),(0,-2,5),(1,2,0)] the...

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  4. If A+2B=[(2,-4),(1,6)], B^T=[(1,2),(0,-1)] then A=

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  5. If 3A+4B'=[(7,-10,17),(0,6,31)],2B-3A'=[(-1,18),(4,-6),(-5,-7)] then B...

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  6. If A=[(i,0),(0,-i)], then A A'=

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  7. If A=[(0,i),(-i,0)] then "AA"^(T)=

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  8. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then "AA"^(T)=

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  9. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then (2A)(1/4A...

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  10. If A=[(2,0,-1),(1,1,2),(-1,1,0)] then "AA"^(T)=

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  11. If A=[(2,3),(5,-7)] then (A')^(2)=

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

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  13. If A=[(cos theta, sin theta, 0),(-sin theta, cos theta, 0),(0,0,1)] th...

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

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  15. If A=[(0,1),(1,0)], B=[(2,0),(0,1)] then (AB)^(T)=

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  16. If A=[(3,0),(-4,-1)],B=[(3,5,-7),(0,-1,8)],C=[(6),(-1),(0)] then C'B'A...

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  17. If 5A=[(3,-4),(4,x)] and "AA"^(T)=A^(T)A=I then x=

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  18. If A is a square matrix then "AA" is

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  19. A and B are two matrices each of order nxxn. Then which of the followi...

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  20. If A and B are two symmetric matrix of same order, then show that (AB-...

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