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IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] th...

IF `A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}]` then show that `A^-1=A^3`.

A

`A^(T)`

B

`2A^(T)`

C

`3A^(T)`

D

`A^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
  1. If A=[(1,0,2),(2,1,0),(3,2,1)] then 3A^(-1)=

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  2. If A=[(1,2,2),(2,1,-2),(-2,2,-1)] thenA^(T)=

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  3. IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3.

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  4. A=((1,0,1),(0,1,1),(0,1,0))impliesA^(2)-2A=

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  5. If A=[(cosx, sin x, 0),(-sin x, cosx, 0),(0,0,1)]=f(x) then A^(T)=

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  6. A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),...

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  7. If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] and G(x)=[(cosx,0,sinx)...

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  8. If |(1,-1,x),(1,x,1),(x,-1,1)| has no inverse, then the real value of ...

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  9. If A=[(1,4,2),(2,-1,4),(-3,7,-6)] then A has

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  10. If A=[(1,3,3),(1,3,4),(1,4,3)] then A has

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  11. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  12. Let P and Q be two 2xx2 matrices. Consider the statements (i)PQ=Oimp...

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  13. Let P and Q be 3xx3 matrices with P!=Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2...

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  14. Let A be a square matrix all of whose entries are integers. Then which...

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  15. Let A=((0,0,-1),(0,-1,0),(-1,0,0)). The only correct statement about t...

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  16. [(1,2,3),(2,5,7),(-2,-4,-5)] is the inverse of

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

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  18. If [(1,0,0),(-1,1,0),(-1,0,1)] is the inverse of [(1,0,0),(1,1,0),(1,0...

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  19. If A=[(0,1,2),(1,2,3),(3,1,1)] and A^(-1)=[(1//2,-1//2,1//2),(-4,3,x),...

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  20. Let A=((1,-1,1),(2,1,-3),(1,1,1)) and (10) B=((4,2,2),(-5,0,alpha),(1,...

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