Home
Class 12
MATHS
By using determinants, solve the followi...

By using determinants, solve the following system of equations: `x+y+z=1`, `x+2y+3z=4`, `x+3y+5z=7`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos
  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Using matrices, solve the following system of equations: x+y+z=6 ; x+2z=7 ; 3x+y+z=12

Using matrices, solve the following system of equations: 2x+3y+3z=5; x - 2y+z=- 4; 3x- y-2z=3

Using matrices, solve the following system of equations: 2x-y+z= -3 , 3x-z= -8 , x+3y=1

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Using matrices, solve the following system of equations: 2x-3y+5z=11 , 3x+2y-4z=-5 , x+y-2z=-3

Using matrices, solve the following system of equations: x\ -\ y+z=4;\ 2x+y\ -\ 3z=0;\ x+y+z=2

Using matrices solve the following system of equations : 2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

Using matrices, solve the following system of equations: 4x+3y+2z=60 ,\ \ x+2y+3z=45\ \ and 6x+2y+3z=70

Solve the following system of homogeneous equations: x+y-z=0 x-2y+z=0 3x+6y-5z=0

Solve the following system of homogeneous equations: x+y-z=0 x-2y+z=0 3x+6y-5z=0

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Determine the values of lambda for which the following system of equat...

    Text Solution

    |

  2. Using determinants, show that the following system of linear equation ...

    Text Solution

    |

  3. By using determinants, solve the following system of equations: x+y+z=...

    Text Solution

    |

  4. Solve the following system of equations by using determinants: x+y+z=1...

    Text Solution

    |

  5. Using Cramers rule, solve the following system of linear equations: (...

    Text Solution

    |

  6. If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x...

    Text Solution

    |

  7. The value of |1 1 1^n C1^(n+2)C1^(n+4)C1^n C2^(n+2)C2^(n+4)C2| is

    Text Solution

    |

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

    Text Solution

    |

  9. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

    Text Solution

    |

  10. If x , y , z are different from zero and |[1+x,1, 1],[1 , 1+y ,1],[ 1...

    Text Solution

    |

  11. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |

  12. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  13. Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find possible values of x and y ar...

    Text Solution

    |

  14. If |[x-2,-3],[3x,2x]|=3 find the value of x

    Text Solution

    |

  15. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

    Text Solution

    |

  16. Find the minors and cofactors of elements of the matrix A=[a(i j)]=[[1...

    Text Solution

    |

  17. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods

    Text Solution

    |

  18. If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot

    Text Solution

    |

  19. Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...

    Text Solution

    |

  20. The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...

    Text Solution

    |