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If A={:((a-a,b-b)):}" then "((1)/(ab))A...

If `A={:((a-a,b-b)):}" then "((1)/(ab))A=`

A

`((1)/(b)+(1)/(b) (1)/(a)-(1)/(a))`

B

`((1)/(a)-(1)/(a)(1)/(b)-(1)/(b))`

C

`((1)/(b)-(1)/(b)(1)/(a)-(1)/(a))`

D

`(a^(2)b" "-a^(2)b" "b^(2)a" "-b^(2)a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Apply scalar product of a matrix.
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PEARSON IIT JEE FOUNDATION-MATRICES-CONCEPT APPLICATION LEVEL 1
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  3. If A={:((a-a,b-b)):}" then "((1)/(ab))A=

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  4. If the matrix {:[(a,a+b),(a+b+c,a+b+c+d)]:} is symmetric, then which o...

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  5. If A={:[(4,-2),(3,-1),(2,5)]:}andB={:[(-7,2),(5,9),(3,4)]:}, then 2A+7...

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  7. If the matrix {:[(a+b,0,0),(0,b+c,0),(0,0,c+a)]:}, (where a,b,c are p...

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  8. If A{:[(1,4,-3),(5,7,9)]:}andB={:[(5,-7),(4,5)]:}, then

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  9. If {:[(0,3,-5),(-3,0,6),(5,-6,0)]:} is a

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  10. If A={:[(2,4),(-3,7)]:}andB=A^(T)," then "A^(T)+B^(T) is

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  11. If A and B are commute then (A+B)^(2) =

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

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

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

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

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

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

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