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If A={:((-2,-1),(-5,-3)):}B={:((-3,1),(5...

If `A={:((-2,-1),(-5,-3)):}B={:((-3,1),(5,-2)):}and(AB)^(n)=I` then n is (a/an)

A

odd number.

B

even number

C

`AAninN`.

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Find the product of AB.
(ii) Find `AB,(AB)^(2)` and so on till you get I to know the value of n.
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PEARSON IIT JEE FOUNDATION-MATRICES-CONCEPT APPLICATION LEVEL 1
  1. If A and B are commute then (A+B)^(2) =

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  2. If A={:[(2,-3,1)]:}andB={:[(4),(2),(-2)]:}, then find 2A^(T)+B

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  3. If {:[(p),(q),(r)]:}andB={:[(3,4,5)]:}, then AB is

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  4. If the orders of matrices A^(T),BandC^(T)" are "3xx4,2xx3and1xx2 respe...

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  5. A is a 2xx2 matrix, such that A={:[(a(ij))]:}, where a(ij)=2i-j+1. The...

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  6. If A+B={:[(01,-11),(9,7)]:}andA-B={:[(-8,9),(9,-5)]:}, then B=

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  7. If A={:((-2,-1),(-5,-3)):}B={:((-3,1),(5,-2)):}and(AB)^(n)=I then n is...

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  8. If A={:((4,3),(-5,2)):}, then A^(2)-6A =

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  9. If A={:((1,5),(3,6)):}and=((34)/(39)), then find the matrix X such tha...

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  10. If {:((2,3),(p,1)):}{:((5,2),(-4,6)):}={:((-2,q),(16,r)):}, then 2p+r=

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  11. If A={:((2,-2),(-2,2)):},B={:((5,3),(-7,2)):}and=C={:((4,2),(-8,1)):} ...

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  12. A={:[(-5,-3,4),(3,2,-4)]:}andB={:[(-4,5,-2),(3,1,5)]:}, then find X s...

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  13. If A+B={:[(7,6),(-3,2)]:}andA-B={:[(1,2),(3,6)]:}, then find A.

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  14. If B-A^(T)={:[(3,4,-2),(5,-3,7)]:}andB^(T)+A={:[(2,0),(5,-1),(3,4)]:},...

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  15. If 2A-3B={:((-27,4,5),(7,6,-15)):}and5A-2B={:((-40,-1,18),(12,15,-21))...

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  16. If A={:[(-1,2),(3,4)]:}andB=A^(T)," then "A^(T)+B^(T)=

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  17. A(x)={:[(0,0,x),(0,0,0)]:} then find the maximum number of possibiliti...

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  18. If A-2B={:[(3,6),(7,6)]:}andA-3B={:[(2,6),(7,5)]:}, then the matrix A ...

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  19. Which of the following matrices satisfies the equation A^(2)+A=O ?

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  20. If A={:[(3,2,7),(1,1,4),(-1,-1,0)]:},B={:[(1,0,3),(2,1,0),(0,-1,-3)]:}...

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