Home
Class 12
MATHS
If A=[[2,3,4],[1,-1,0],[0,1,2]], find A...

If `A=[[2,3,4],[1,-1,0],[0,1,2]]`, find `A^(-1)`. Hence, solve the system of equations
x-y=3,
2x+3y+4z=17,
y+2z=7

Text Solution

Verified by Experts

The correct Answer is:
`x=2`, `y=-1`, `z=4`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Examples (QUESTIONS FROM NCERT EXAMPLAR|4 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(a) (SHORT ANSWER TYPE QUESTIONS)|20 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|17 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

If A=[[1,3,4],[2,1,2],[5,1,1]] , find A^(-1) . Hence solve the system of equations : x+3y+4z=8, 2x+y+2z=5 and 5x+y+z=7

If A=[{:(1,1,1),(1,0,2),(3,1,1):}] , find A^(-1) . Hence, solve the system of equations : x+y+z=6 , x+2z=7 , 3x+y+z=12

If matrix A=[[2,3,1],[1,2,2],[-3,1,-1]] Find A^(-1) and hence solve the system of equation 2x+y-3z=13,3x+2y+z=4,x+2y-z=8

Consider the system of equations x-3y+z=-1 , 2x+y-4z=-1 , 6x-7y+8z=7

If A=[{:(3,1,2),(3,2,-3),(2,0,-1):}] , find A^(-1) . Hence, solve the system of equations : 3x+3y+2z=1 , x+2y=4 , 2x-3y-z=5

If matrix A=[[2,1,-3],[3,2,1],[1,2,-1]] . Find A^(-1) and hence solve the system of equation 2x+y–3z=13, 3x+2y+z=4, x+2y-z=8

If A=[[3,2,1],[4,-1,2],[7,3,-3]] then find A^(-1) and hence solve the following system of equations : 3x+ 4y+7z= 14, 2x-y+ 3z= 4 and x+ 2y-32= 0.

If matrix A=|[2,3,1],[1,2,2],[-3,1,-1]| Find A^(-1) and hence solve the system of equation 2x+y-3z=13,3x+2y+z=4,x+2y-z=8

Solve the system of equations x+3y -2z =0, 2x-y+4z =0 ,x-11y+14z =0

If A=[[1,-1,12,1,-31,1,1]], find A^(-1) and hence solve the system of linear equation.x+2y+z=4,-x+y+z=0,x-3y+z=2

MODERN PUBLICATION-DETERMINANTS-Examples (FREQUENCY ASKED QUESTIONS)
  1. If A=[2 3 1-4]and B=[1-2-1 3], then verify that (A B)^(-1)=B^(-1)A^(-1...

    Text Solution

    |

  2. If A=[{:(1,3,3),(1,4,3),(1,3,4):}], verify A.(adj.A)=|A|I and find A^(...

    Text Solution

    |

  3. Find the inverse of each of the matrices given below : Computer (A...

    Text Solution

    |

  4. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

    Text Solution

    |

  5. x+2y=9 2x+4y=7

    Text Solution

    |

  6. Solve the following system of equations by matrix method : 3x-4y=5 a...

    Text Solution

    |

  7. Using matrices, solve the following system of equations: 4x+3y+3z=6...

    Text Solution

    |

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

    Text Solution

    |

  9. Using elementary transformations, find the inverse of the matrix A=(8 ...

    Text Solution

    |

  10. If A=[[2,3,4],[1,-1,0],[0,1,2]], find A^(-1). Hence, solve the system...

    Text Solution

    |

  11. If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}], find A^(-1). Using A^(-1), sol...

    Text Solution

    |

  12. Use product [{:(1,-1,2),(0,2,-3),(3,-2,4):}][{:(-2,0,1),(9,2,-3),(6,1,...

    Text Solution

    |

  13. Solve, using matrices : 2x-y+3z=5, 3x+2y-z=7 and 4x+5y-5z=9

    Text Solution

    |

  14. Solve the following systems of linear homogenous equations : 2x+y-3z...

    Text Solution

    |

  15. Solve the following systems of linear homogenous equations : 3x+2y+7...

    Text Solution

    |

  16. The sum of three numbers is -1. If we multiply second number by 2, thi...

    Text Solution

    |

  17. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

  18. A typing changes rs 145 for typing 10 English and 1 Hindi page for typ...

    Text Solution

    |

  19. Two schools A and B decided to award prizes to their students for thre...

    Text Solution

    |

  20. The management committee of a residential colony decided to award some...

    Text Solution

    |