Home
Class 12
MATHS
LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using...

Let`A=[[1,-1,1],[2,1,-3],[1,1,1]]`
Using A^-1 solve the system of
equations
`x-y+z=4`
`2x+y-3z=0`
`x+y+z=2`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    V PUBLICATION|Exercise QUESTION BANK|168 Videos

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

Similar Questions

Explore conceptually related problems

Solve the system of Linear equations x+2y+z=8 , 2x+y-z=1 , x-y+z=2

Solve the system of equations x-y+z=4 , 2x+y-3z=0 , x+y+z=2 Using matrix method

If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equations 2x-3y+5z=16 3x+2y-4z=-4 x+y-2z=-3

if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Using A^-1 solve the system of linear equation given below: x-y+2z=1, 2y-3z=1, 3x-2y+4z=2

If A= [[2,-3,5],[3,2,-4],[1,1,-2]] find A^(-1) Using A^(-1) solve the system of equations:2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

Use product [[1,-1,2],[0,2,-3],[3,-2,4]][[-2,0,1],[9,2,-3],[6,1,-2]] to solve the system of equations x-y+2z=1 2y-3z=1 3x-2y+4z=2

If A=[[2 , -3 , 5],[ 3, 2, -4],[ 1, 1, -2]] , find A^(-1) . Using A^(-1) solve the system of equations. 2 x-3 y+5 z=11 , 3x+2y-4 z=-5, x+y-2z =-3

Solve the following system of equations 3x-2y+3z=8 , 2x+y-z=1 , 4x-3y+2z=4

Solve the following system of linear equations. x+y+z=3 , y-z=0 , 2x-y=1

Examine the consistency of the system of equations 5 x-y+4z=5 , 2 x+3 y+5 z=2, 5 x-2 y+6 z=-1

V PUBLICATION-DETERMINANT-QUESTION BANK
  1. Solve the following system of linear Equations,using matrix method, ...

    Text Solution

    |

  2. Solve the system of equations using matrix method. 2 x+y+z=1 , x-2 y-z...

    Text Solution

    |

  3. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using A^-1 solve the system of eq...

    Text Solution

    |

  4. If A=[[2 , -3 , 5],[ 3, 2, -4],[ 1, 1, -2]], find A^(-1) . Using...

    Text Solution

    |

  5. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs. 60 . The cost ...

    Text Solution

    |

  6. If a, b, c are positive and unequal show that value of the determinant...

    Text Solution

    |

  7. Show that Delta=|[(y+z)^2, x y , z x],[ x y, (x+z)^2, y z],[ x z...

    Text Solution

    |

  8. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

    Text Solution

    |

  9. Prove that Delta=|[a+b x, c+d x, p+q x],[ a x+b, c x+d, p x+q],[ ...

    Text Solution

    |

  10. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

    Text Solution

    |

  11. Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca...

    Text Solution

    |

  12. Evaluate |[cos alpha cos beta, cos alpha sin beta, -sin alpha],[ -s...

    Text Solution

    |

  13. If a,b,c are real numbers and abs[[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+...

    Text Solution

    |

  14. Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]|=0, a ne0

    Text Solution

    |

  15. Prove that |[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^...

    Text Solution

    |

  16. If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-...

    Text Solution

    |

  17. Let A=[[1,-2,1],[-2,3,1],[1,1,5]] verify that (A^(-1))^(-1)=A

    Text Solution

    |

  18. Evaluate |[x, y, x+y],[ y, x+y, x],[ x+y, x, y]|

    Text Solution

    |

  19. evaluate | [1,x,y],[1,x+y,y],[1,x,x+y] |

    Text Solution

    |

  20. Using properties of determinants, prove that |[alpha, alpha^2, beta+g...

    Text Solution

    |