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If ((x+3,2y+x),(z-1,4a-z))=[(0,-7),(3,2a...

If `((x+3,2y+x),(z-1,4a-z))=[(0,-7),(3,2a)]` then `x+y+z+a=`

A

`-1`

B

0

C

1

D

8

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -EXERCISE - I
  1. If A=[(1,2),(2,5)],B=[(4,3),(0,2)] and 2A+C=B then C =

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  2. If I=[(1,0),(0,1)]=J[(0,1),(-1,0)] and B=[(cos theta, sin theta),(-sin...

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  3. If ((x+3,2y+x),(z-1,4a-z))=[(0,-7),(3,2a)] then x+y+z+a=

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  4. If A=[(9,1),(4,3)],B=[(1,5),(6,11)] and 3A+5B+2X=0 then X =

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  5. If A=[(0,2),(3,-4)],kA=[(0,3a),(2b,24)] then the values of k,a,b are r...

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  6. m[(-3,4)]+n[(4,-3)]=[(10,-11)]implies3m+7n=

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  7. If ((x-2y,5y),(6,a-2b))=5((4,2),((b)/(5),6)) then a+x=

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  8. If A=" diag "(1,-1,2)"B = diag "(2,3,-1) then 3A+4B=

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  9. The additive inverse of [(1,4,-7),(-3,2,5),(2,3,-1)] is

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  10. The order of the matrix A is 3xx5 and that of B is 2xx3. The order of ...

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  11. If A,B are two idempotent matrices and AB=BA=O then A+B is

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  12. If A and B are two square matrices of order n and A and B commute then...

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  13. If A and B are two matrices such that AB and A+B are both defined, the...

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  14. If A=[(3,0),(-4,-1)]B=[(3,5,-7),(0,-1,8)]C=[(6),(-1),(0)] then ABC=

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  15. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

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  16. If A=[(4,1,0),(1,-2,2)],B=[(2,0,-1),(3,1,4)],C=[(1),(2),(-1)] and (3B-...

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  17. If A=((2,3),(0,4))then A^(2)-5I=

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  18. If A and B are matrices such that AB = O then

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  19. A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=

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  20. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

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