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The system of linear equations `x+y+z=2,2x+y-z=3, 3x+2y+kz=4` has a unique solution if

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The number of solution of the system of equations: x+y+z=2 2x+y-z=3, is 3x+2y+k z=4 has a unique solution if k!=0 (b) -1 < k < 1 (c) -2 < k < 2 (d) k = 0

If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y-kz = 3 has a solution (x, y, z), z ne 0 , then (x, y) lies on the straight line whose equation is

For what values of a and b, the system of equations 2x+a y+6z=8, x+2y+b z=5, x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions (iii) no solution

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RD SHARMA ENGLISH-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-All Questions
  1. Solve the following system of homogeneous linear equations by matri...

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  2. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

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  3. Solve the following system of homogeneous linear equations by matri...

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  4. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  5. If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , ...

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  6. If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find ...

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  7. If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , fin...

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  8. Solve [(3 ,-4),( 9 , 2)][(x) ,( y)]=[(10),( 2)] for x\ a n d\ y .

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  9. If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\...

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  10. If A=[[2, 4 ],[4 ,3]],X=[[n],[1]] , B=[[8], [11]] and A X=B , then fin...

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  11. The system of equation x+y+z=2 , 3x-y+2z=6 and 3x+y+z=-18 has (a) a un...

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  12. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  13. Let x=|[x1],[x2],[x3]|,A=|[1,-1, 2], [2,0,1], [3,2,1]| a n d B=|[3], [...

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  14. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  15. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

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  16. |(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)|=0 then the system of equations a1x+...

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  17. Let a ,b , c be real numbers. The following system of equations in x ,...

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  18. For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

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  19. The existence of the unique solution of the system x + y + z = lambda,...

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  20. The system of equations: x+y+z=5, x+2y+3z=9 and x+3y+lambdaz=mu has ...

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