Home
Class 12
MATHS
For what value of 'k', the system of lin...

For what value of 'k', the system of linear equations :
x+y+z=2,2x+y-z=3 and 3x+2y+kz=4 has a unique solution.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has unique solution, when

For what values of p and q the system of equations x+y+z=6 x+2y+3z=10 x+2y+pz=q has (i) unique solution ? (ii) an infinitely many solutions ? (iii) no solution ?

The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a unique solution if (A) k!=0 (B) -1ltklt1 (C) -2ltklt2 (D) k=0

Find all integers lambda for which the system of equations x+2y - 3z = 1,2x - lambday - 3z = 2x+2y + lambda z = 3 has a unique solution.

Find the value of k for which the following system of linear equations : 2x -ky = 1, 3x - 5y = 7 will have :- a unique solution .

Find the values of p,q, so that the system of equations 2x + py + 6z = 8, x + 2y + qz = 5, x + y + 3 z = 4 may have a unique solution.

. For what values of lambda and mu the system of equations x+y+z=6, x+2y+3z=10, x+2y+lambdaz=mu has (i) Unique solution (ii) No solution (iii) Infinite number of solutions

Solve the system of linear-equations : x - y + z = 4, 2x + y - 3z = O, x + y + z = 2 Using matrix method.

Determine k so that the system of equations x + 2y + kz = 0,3x + 5y - 2z = 0 and 5x + 6y - kz = 0 may have a non-zero solution. Find all the real solutions for that value of k.

Examine the consistency of the system of equations : 3x-y-2z=2, 2y-2z=-1, 3x-5y =3

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Write the value of Delta = |(x+y, y +z , z +x),(z, x,y),(-3,-3,-3)|

    Text Solution

    |

  2. If A is a 3xx3 matrix and |3A | = k |A|, then write the value of k.

    Text Solution

    |

  3. For what value of 'k', the system of linear equations : x+y+z=2,2x+y...

    Text Solution

    |

  4. Evaluate the determinants in exercises 1 to 2. |(2,4),(-5,-1)|

    Text Solution

    |

  5. Evaluate the determinants in exercises 1 to 2. |(cos theta, - sin th...

    Text Solution

    |

  6. Evaluate the following determinants: {:|(x^2-x+1,x-1),(x+1,x+1)|

    Text Solution

    |

  7. If A =[{:(1,2),(4,2):}], then show that | 2A| = 4|A|.

    Text Solution

    |

  8. If A = [[1,0,1],[0,1,2],[0,0,4]] then show that |3A| = 27|A|

    Text Solution

    |

  9. Evaluate the following determinants: {:|(3,-1,-2),(0,0,-1),(3,-5,0)|

    Text Solution

    |

  10. Evaluate the determinant : |[3,-4,5],[1,1,-2],[2,3,1]|

    Text Solution

    |

  11. Evaluate the determinant : |[0,1,2],[-1,0,-3],[-2,3,0]|

    Text Solution

    |

  12. Evaluate the determinant Delta = abs{:(2,-1,-2),(0,2,-1),(3,-5,0):}.

    Text Solution

    |

  13. If A = [{:(1,1,-2),(2,1,-3),(5,3,-9):}], find |A|.

    Text Solution

    |

  14. Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|

    Text Solution

    |

  15. Find the value of x, if |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|.

    Text Solution

    |

  16. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

    Text Solution

    |

  17. Using the property of determinants and without expanding , prove that:...

    Text Solution

    |

  18. Using the property of determinants and without expanding , prove that:...

    Text Solution

    |

  19. Using the property of determinants and without expanding , prove that:...

    Text Solution

    |

  20. Using the property of determinants and without expanding , prove that:...

    Text Solution

    |