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If A={:((3,1),(-4,5)):},B={:((-3,1),(4,-...

If `A={:((3,1),(-4,5)):},B={:((-3,1),(4,-5)):}andC={:((2,1),(-1,3)):}`, then

A

AB=AC

B

AC=BC

C

BC=CB

D

A(B+C)=AB+AC

Text Solution

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The correct Answer is:
D
(i) Try from products AB, BC AC and verify from options.
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PEARSON IIT JEE FOUNDATION-MATRICES-LEVEL 2
  1. If A={:[(2,-3),(1,2)]:}andB={:[(3,2),(7,-1)]:}, find matrix C such tha...

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  2. If A={:((3,1),(-4,5)):},B={:((-3,1),(4,-5)):}andC={:((2,1),(-1,3)):}, ...

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  3. If A={:[(0,-1),(1,0)]:}andB={:[(-1,0),(3,2)]:}, then AB^(2) =

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  4. If X={:[(1,2),(3,2)]:}andX^(2)-3X=

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  5. If A={:[(-3,-2),(-1,3)]:}, then A^(2)-11I=

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  6. If A={:[(a-3,-5),(c+1,b-2)]:} is a skew =-symmetric matrix, then a+b-c...

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  7. If A={:[(0,y),(y,0)]:} which of the following is true ?

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  8. If {:[(4,-5),(3,6)]:}+2X={:[(8,-1),(-7,2)]:}, then X^(T) =

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  9. If A={:[(p,2),(-4,-5)]:},B={:[(q,r-s),(r,-5)]:}" and A=B. Find"{:[(p,q...

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  10. If {:[(3,7)]:}{:[(1,-2),(-2,x)]:}{:[(-1),(2)]:}=[13], then the value o...

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  11. If A={:[(0,x),(1,0)]:}, such that A^(2)=4I, then x is

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  12. If A=(1)/(sqrt(3)){:[(-8,3),(3,8)]:}," then "A^(5) =

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  13. Which of the following is square root of {:[(16,4),(3,13)]:} ?

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  14. If 5A-2B={:[(11,2,-5),(4,-3,6)]:}and-2A+B={:[(4,-2,4),(-5,3,1)]:}, the...

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  15. If {:[(4,5)]:}{:[(1,6),(x,3)]:}{:[(-2),(3)]:}=[9], then the value of x...

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  16. If A={:[(5,-6),(2,4)]:}andB=A^(T)," then "A^(T)-B^(T) is .

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  17. If A={:[(8),(-1),(-7)]:}andB={:[(2,5,-6)]:}," then find "3A+B^(T).

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  18. If A={:[(7,0),(0,7)]:}," then find "A^(n)(ninN) .

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  19. If A={:[(p,0),(0,p)]:}" then "A^(n+1) is .

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  20. If A={:[(5,6),(7,8)]:}," then "(A+A^(T))/(2) is .

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