Home
Class 12
MATHS
Solve the following system of equation b...

Solve the following system of equation by matrix method `x + y - 2z = 1; x - y + z = 0; 2x + 3y - 4z = 2,`

Text Solution

Verified by Experts

The correct Answer is:
` x=(1)/(3) ,y=0,z=-(1)/(3) `
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos

  • MATRICES

    FIITJEE|Exercise SOLVED PROBLEM (SUBJECTIVE)|12 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of equations by matrix method: x+y-z=3,2x+3y+z=10,3x-y-7z=1

Solve the following system of equation by matrix method x+2y +3z+1= 0, -2x+y-z +5=0 ,3x +y-2z -3=0

Solve the following system of equations by matrix method: x+y+z=3,\ \ 2x-y+z=-1,\ \ 2x+y-3z=-9

Solve the following system of equations by matrix method.3x-2y2x+y-z=14x-3;yquad +quad 2z=4

solve the following system of equations by matrix method: x-3y-8z=-10 and 3x+y-4z=0 and 2x+5y-6z=13

Solve the following system of equations by matrix method: 5x+3y+z=16,2x+y+3z=19,x+2y+4z=25

Solve the system of equation by matrix method 2x+y+z=4 3x-2y+z=2 x-2y+z=0

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

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

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

FIITJEE-MATRICES -SOLVED PROBLEM
  1. Prove that every square matrix can be uniquely expressed as the sum of...

    Text Solution

    |

  2. If B is a real mxn matrix, show that B'B as well as BB'is a symmetric ...

    Text Solution

    |

  3. Solve the following system of equation by matrix method x + y - 2z = 1...

    Text Solution

    |

  4. Solve the following system of equation by matrix method x+2y +3z+1=...

    Text Solution

    |

  5. Find the values of lambda and mu so that the system of equations (i)...

    Text Solution

    |

  6. If A =[{:( 2,5,3),(3,1,2),(1,2,1) :}] then A^(-1) is equal to

    Text Solution

    |

  7. With the help of metrices the solution of the equations 3x+y+2z=3,2x-3...

    Text Solution

    |

  8. If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),(...

    Text Solution

    |

  9. If A and B are square matrices of order 3, then

    Text Solution

    |

  10. If A and B are any two square matrices of the same order than ,

    Text Solution

    |

  11. IF A = [{:( -2,3,-1),( -1,2,-1),( -6,9,-4) :}] and B = [{:( 1,3,-1),(...

    Text Solution

    |

  12. If A=[{:( 1,-tanx ),( tanx ,1):}] then the value of [A^(T) A^(-1) ] ...

    Text Solution

    |

  13. If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the val...

    Text Solution

    |

  14. A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0...

    Text Solution

    |

  15. If A is a square matrix of order 5 and 9A^(-1) then [adj (adj AJJ] (...

    Text Solution

    |

  16. The set of natural numbers N is partitioned into arrays of rows and co...

    Text Solution

    |

  17. For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x)...

    Text Solution

    |

  18. The adjoint of the matrix A= [{:( 1,2),( 3,-5) :}] is

    Text Solution

    |

  19. The system AX = B of n equation in n unknown has infinitely many solut...

    Text Solution

    |

  20. The number of matrices in A is

    Text Solution

    |