Home
Class 12
MATHS
Find the real values of K for which the ...

Find the real values of K for which the following system of linear equations has non-trival solutions:
x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the real values of k for which the following system of linear equations has non-trivial solutions: x-ky+z=0,kx+3y-kz=0,3x+y-z=0

Find the real values of k for which the following system of linear equtions has non -trivial solution: x-ky-z=0,kx-y-z=0,x+y-z=0 .

Find the real values of lambda for which the following system of linear equations has non -trivial solutions: x+y-3z=0,( 1+lambda)x+(2+lambda)y-8z=0 , x-(1+lambda)y+(2+lambda)z=0 .

Show that the following system of equations has no solutions: 3x+2y+3z=2,5x+7y+5z=3,4x+5y+4z=4

Show that the following system of equations has no solution : x+2y+3z=1,2x+3y+5z=1,3x+4y+7z=1

In each of the following cases show that the given system of linear equations has infinite number of solutions: 2x - y + 3z = 5, 3x + 2y -z = 7, 4x + 5y - 5z = 9

For what values of k , the following system of equations possesses a nontrival solution over the set of rationals: x+k y+3z=0,3x+k y-2z=0,2x+3y-4z=0. Also find the solution for this value of kdot

Show that the following system of equations has infinite number of solutions : x+2y+3z=1,3x+4y+5z=2,5x+6y+7z=3

UNITED BOOK HOUSE-SET 13-EXERCISE
  1. If X follows a binomial distribution with parameter n = 101 and p = 1/...

    Text Solution

    |

  2. Prove that, {cos(sin^(-1)x)}^2 = {sin(cos^(-1)x)}^2 .

    Text Solution

    |

  3. Find the real values of K for which the following system of linear equ...

    Text Solution

    |

  4. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] then prove that,...

    Text Solution

    |

  5. Examine whether f(x) = |x| has a derivative at x = 0.

    Text Solution

    |

  6. State Lagrange's mean value theorem.

    Text Solution

    |

  7. Evaluate:int(sin x dx)/(cos 2x)

    Text Solution

    |

  8. Find the integrating factor of the differential equation (x + y + 1)(d...

    Text Solution

    |

  9. Prove that the function(sin(x + alpha))/(sin(x + beta)) has neither a ...

    Text Solution

    |

  10. Using the method of differentail find the approximate value of sqrt 0....

    Text Solution

    |

  11. A variable plane moves in such a way that the sum of the reciprocals o...

    Text Solution

    |

  12. If A and B are two independent events, prove that A^C and B are also i...

    Text Solution

    |

  13. Five cards are drawn successively with replacement from a well-shuffle...

    Text Solution

    |

  14. If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13, find the valu...

    Text Solution

    |

  15. If A and B are tow matrices such that AB =O, can we deduce that eithe...

    Text Solution

    |

  16. (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...

    Text Solution

    |

  17. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

    Text Solution

    |

  18. Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)

    Text Solution

    |

  19. Evaluate: int(log(logx)+1/((logx)^2))dx

    Text Solution

    |

  20. Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).

    Text Solution

    |