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The solution of the system of equations whose Augmented matrix is `[(1,2,3,6),(2,4,1,7),(3,2,9,14)]` is

A

`x=1,y=1,z=-1`

B

`x=-1,y=1,z=1`

C

`x=1,y=-1,z=1`

D

`x=1,y=1,z=1`

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The correct Answer is:
D
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AAKASH SERIES-MATRICES -LINEAR EQUATIONS - EXERCISE - I
  1. The solution of 2x+y+z=1,x-2y-3z=1,3x+2y+4z=5 is

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  2. The solution of the system of equations whose Augmented matrix is [(1,...

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  3. The equation 2x+y-4z=0, x-2y+3z=0 , x-y+z=0 have

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  4. The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+...

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  5. The equations x+y+z=0,2x-y-3z=0,3x-5y+4z=0 have

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  6. If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have ...

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  7. If the system of equations 2x+3ky+(3k+4)z=0,x+(k+4)y+(4k+2)z=0,x+2(k+4...

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  8. If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have ...

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  9. If x ^(2) + y ^(2) + z ^(2)ne 0, x= cy + bz, y= az +cx, and z= bx + ay...

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  10. The number of Solutions of the system of equations 2x + y -z = 7, x - ...

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  11. For the equations x+2y+3z=1, 2x+y+3z=2, 5x+5y+9z=4

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  12. The equation x-y+2z=4,3x+y+4z=6, x+y+z=1 have

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  13. The equations x+4y-2z=3,3x+y+5z=7,2x+3y+z=5 have

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  14. The system of equations 2x+6y+11=0,6y-18z+1=0,6x+20y-6z+3=0

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  15. If the system of equations x+y+z=6, x+2y+lamdaz=0, x+2y+3z=10 has no s...

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  16. The system of equations 4x+y+2z=5, x-5y+3z=10, 9x-3y+7z=20 has

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  17. The rank of [(1,0),(0,0)] is

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  18. The rank of [(1,0,0),(0,1,0),(0,0,1)] is

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  19. The rank of [(1,-1,1),(1,1,-1),(-1,1,1)] is

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  20. Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

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