Home
Class 12
MATHS
Using matrices, solve the following syst...

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

Text Solution

Verified by Experts

The correct Answer is:
`x=2`, `y=-1`, `z=1`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (Multiple choice question)|25 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (Fill in the blanks)|10 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(h) (SHORT ANSWER TYPE QUESTIONS)|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

Using matrices,solve the following system of equations: x+y+z=6;x+2z=73x+y+z=12

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

Using matrices,solve the following system of equations: x+2y+z=7,x+3z=11,2x-3y=1

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: 3x-y+z=5 ,2x-2y+3z=7,x+y-z=-1

Using matrices,solve the following system of linear equations: 3x-2y+3z=8;2x+y-z=1;4x-3y+2z=4

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+2y-3z=6,3x+2y-2z=3,2x-y+z=2

Using matrices, solve the following system of equations for x,y and z. x+y+z=3 , y+3z=4 , x-2y+z=0

Using matrices,solve the following system of linear equations: x-y+2z=7;3x+4y-5z=-5;2x-y+3z=12

MODERN PUBLICATION-DETERMINANTS-Exercise 4(h) (LONG ANSWER TYPE QUESTIONS)
  1. Classify the following system of equations as consistent or inconsiste...

    Text Solution

    |

  2. Solve the following system of equations by matrix method :x+y-z=3 , 2x...

    Text Solution

    |

  3. Using matrices, solve the following system of equations: x\ -\ y+z...

    Text Solution

    |

  4. Solve the following system of equations, using matrix method. x+2y+z=7...

    Text Solution

    |

  5. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  6. Using matrices, solve the following system of equations: 2x=3y+5z=...

    Text Solution

    |

  7. Solve the following system of linear equations by matrix method: x+y+z...

    Text Solution

    |

  8. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  9. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  10. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  11. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  12. Using matrices, solve the following system of equations for x,y and z....

    Text Solution

    |

  13. Solve system of linear equations, using matrix method, in questions 7 ...

    Text Solution

    |

  14. Solve the following equations, using inverse of a matrix : {:(x-2y+3...

    Text Solution

    |

  15. Solve the following equations, using inverse of a matrix : {:(x+2y=5...

    Text Solution

    |

  16. Find inverse of matrix, solve the equation x-y+z=4,2x+y-3z=0,x+y+z=2

    Text Solution

    |

  17. Solve the following equations, using inverse of a matrix : {:(x+2y-3...

    Text Solution

    |

  18. 2x+3y+5z=16, 3x+ 2y-4z= 4, x + y - 2z =- 3.

    Text Solution

    |

  19. Solve the following equations, using inverse of a matrix : {:(2x+y+z...

    Text Solution

    |

  20. Solve the following equations, using inverse of a matrix : {:(2x+3y+...

    Text Solution

    |