Home
Class 12
MATHS
Solve the following system of linear equ...

Solve the following system of linear equations by matrix method: `x + y + z = 6, y + 3z = 1 1 , x -.2y + z = 0`

Text Solution

Verified by Experts

The correct Answer is:
`x=1, y= 2, z=3`.
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Important Questions from Miscellaneous Exercise|14 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of linear equations by matrix method : x + y + z = 3, y + 3z = 4, x - 2y -z =0

Solve the following system of linear equations by matrix method: x - y + z = 4, 2x + y - 3z = 0, x + y + z = 2

Solve the following system of linear equations by matrix method: x + 2y + z = 6, 2x + y + 2z=6, x - y - z = 2

Solve the following system of linear equations by matrix method : 3x + y + z = 10, 2x - y - z = 0, x - y + 2z = 1

Solve the following system of linear equations by matrix method : 2x + y - z = 0, 3x + y + z = 3, x - 2y + 2z = 5

Solve the following system of linear equations by matrix method : 2x .+ y - z. = 6, 3x - y + 2z = 3, x + 2y - z = 5

Solve the following system of linear equations by matrix method: 2x + 3y + 4z = 4, x - 2y - z = -2, 3x - y + z = 0

OMEGA PUBLICATION-DETERMINANTS-Multiple Choice Questions (MCQs)
  1. Solve the following system of linear equations by matrix method: x + y...

    Text Solution

    |

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

    Text Solution

    |

  3. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

    Text Solution

    |

  4. If A is an invertible matrix of order n, then |adj A|=

    Text Solution

    |

  5. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

    Text Solution

    |

  6. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

    Text Solution

    |

  7. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

    Text Solution

    |

  8. Select the Correct Option If A is an invertible matrix of order 2, the...

    Text Solution

    |

  9. If a, b, c are in A.P., then the determinant abs{:(x+2, x+3, x+2a),(x+...

    Text Solution

    |

  10. If x, y, z are non-zero real numbers, then the inverse of matrix A = [...

    Text Solution

    |

  11. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

    Text Solution

    |

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

    Text Solution

    |

  13. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

    Text Solution

    |

  14. If A is an invertible matrix of order n, then |adj A|=

    Text Solution

    |

  15. If area of triangle is 35 sq. units with vertices (2, - 6), (5, 4) and...

    Text Solution

    |

  16. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

    Text Solution

    |

  17. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

    Text Solution

    |

  18. lf A is an invertible matrix of order 2, then |A^(-1) | is equal to

    Text Solution

    |

  19. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  20. If x. y, z are non- real number", then the inverse of matrix A = [[x,0...

    Text Solution

    |

  21. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

    Text Solution

    |