Home
Class 12
MATHS
Solve the following equations by the in...

Solve the following equations by the invers method :
` x + y + z = - 1, x - y + z = 2, x + y - z = 3`.

Text Solution

Verified by Experts

The correct Answer is:
`x = (5)/(2), y = -(3)/(2), z = -2`
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise TRIGONOMETRIC FUNCTIONS |44 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATHEMATICAL LOGIC |32 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations by inverse method : x + z = -1 , y +z = - 4, 4x + y + z = 0 .

Solve the following equations by inverse method : x + 3y + 3z = 12, x + 4y + 4z = 15, x + 3y + 4z = 13

Solve the following equations by reduction method : x - y + z = 4, 2x + y - 3z = 0 , x + y + z = 2

Solve the following equations by using reduction method : 2x - y + z = 1, x + 2y + 3z = 8, 3x + y - 4z = 1 .

Solve the following equations by method of reduction x-3y +z=2, 3x + y +z=1, 5x + y + 3z=3

Solve the following questions by Cramer's method x+y=1,y+z=z,x+z=3

Solve the following equations by Crammer's method: 2x+y+3z=8 ,3x+2y-z=-3,x-2y+3z=1

Solve the following equations by using Matrix inversion method. 2x-y+3z=9,x+y+z=6,x-y+z=2 .

Solve the following equations using inverse of a matrix. x+y=5 , y+z=3 , z+x=4

Solve the following equations by the method of reduction 2x-y+z=1, x+2y+3x=8, 3x+y-4z=1.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
  1. If A=[{:(1," 2",-1),(3,-2," 5"):}] , then R(1) harr R(2) and C(1) ra...

    Text Solution

    |

  2. Three chairs and two tables costs Rs. 1850. Five chairs and three tabl...

    Text Solution

    |

  3. v36.3

    Text Solution

    |

  4. Find the adjoint of matrix A = [(2,0,-1),(3,1,2),(-1,1,2)]

    Text Solution

    |

  5. Find the matrix X such that {:((1,2,3),(2,3,2),(1,2,2)):} X = {:((2,2...

    Text Solution

    |

  6. If A=[[sectheta, tantheta, 0], [tantheta, sectheta, 0], [0, 0, 1]], th...

    Text Solution

    |

  7. Transform [(1,2,4),(3,-1,5),(2,4,6)] into an upper triangular matrix b...

    Text Solution

    |

  8. If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)], the...

    Text Solution

    |

  9. Using elementary transformations, find the inverse of the matrix[2-3 ...

    Text Solution

    |

  10. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

    Text Solution

    |

  11. Solve the following equations by the invers method : x + y + z = ...

    Text Solution

    |

  12. If three numbers are added , their sum is 2 . If two times the seco...

    Text Solution

    |

  13. Find the inverse of the matrix {:((1,0,1),(0,2,3),(1,2,1)):} by using...

    Text Solution

    |

  14. If A = [(x,0,0),(0,y,0),(0,0,z)] is a non-singular matrix, then find A...

    Text Solution

    |

  15. Find the inverse of A =[[costheta,-sintheta,0],[sintheta,costheta,0],[...

    Text Solution

    |

  16. If A = [(1,1),(1,2)], B = [(4,1),(3,1)], and C = [(24,7),(31,9)], then...

    Text Solution

    |

  17. If A = {:((1,-1,2),(3,0,-2),(1,0,3)):}, verify that A (adj A) = |A|* I...

    Text Solution

    |

  18. If A = [(2,3),(1,2)], B = [(1,0),(3,1)], find AB and (AB)^(-1)

    Text Solution

    |

  19. Solve the following system of equations by using matrix inversion meth...

    Text Solution

    |

  20. The cost of 4 dozen pencils, 3 dozen pens and 2 dozen erasers is Rs. ...

    Text Solution

    |