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If the matrix {:[(a,a+b),(a+b+c,a+b+c+d)...

If the matrix `{:[(a,a+b),(a+b+c,a+b+c+d)]:}` is symmetric, then which of the following holds ?

A

a=0

B

b=0

C

c=0

D

d=0

Text Solution

Verified by Experts

The correct Answer is:
C
If A is symmetric matrix, then `A^(T)=A`.
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PEARSON IIT JEE FOUNDATION-MATRICES-CONCEPT APPLICATION LEVEL 1
  1. If A{:((-5,7),(3,-8)):}andB={:((-12,24),(-36,52)):}, then find matrix ...

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

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

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

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  5. If A={:((1,-3,4),(2,1,-2)):},B={:((-2,-4,5),(1,-1,3)):} and 5A-3B+2X=O...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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