Home
Class 12
MATHS
If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A...

If `A=((2,-3,5),(3,2,-4),(1,1,-2))` find `A^(-1)`. Use it to solve the system of equations `2x-3y+5z=11` , `3x+2y-4z=-5` and `x+y-2z=-3`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (Multiple choice question)|25 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (Fill in the blanks)|10 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(h) (SHORT ANSWER TYPE QUESTIONS)|10 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=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^(-1). Using A^(-1) solve the following system of equations: 2x-3y+5z=16;3x+2y-4z=-4;x+y-2z=-3

Using matrices,solve the following system of equations: 2x-3y+5z=11,3x+2y-4z=-5,x+y-2z=-3

If A=[[2,-3,53,2,-41,1,-2]], find A^(-1) Using A^(-1) solve the following system of equations : 2x-3y+5z=16:3x+2y=-4;x+y-2z=-

2x-3y+5z=16, 3x+ 2y-4z= -4, x + y - 2z =- 3.

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

Solve the following system of equations: 2x-3y+5z=11, 5x+2y-7z=-12, -4x+3y+z=5

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

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

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

MODERN PUBLICATION-DETERMINANTS-Exercise 4(h) (LONG ANSWER TYPE QUESTIONS)
  1. Solve the following system of equations : {:((1)/(x)-(1)/(y)+(2)/(z)...

    Text Solution

    |

  2. If A=(2-3 5 3 2-4 1 1-2), find A^(-1) . Using A^(-1) solve the fol...

    Text Solution

    |

  3. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

    Text Solution

    |

  4. If A=[[3,2,1],[4,-1,2],[7,3,-3]] then find A^(-1) and hence solve the...

    Text Solution

    |

  5. If A=[{:(3,1,2),(3,2,-3),(2,0,-1):}] , find A^(-1). Hence, solve the s...

    Text Solution

    |

  6. If A=[{:(1,1,1),(1,0,2),(3,1,1):}], find A^(-1). Hence, solve the syst...

    Text Solution

    |

  7. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

    Text Solution

    |

  8. Given that A=[{:(1,-1,0),(2,3,4),(0,1,2):}] and B=[{:(2,2,-4),(-4,2,-4...

    Text Solution

    |

  9. Given A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3)...

    Text Solution

    |

  10. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

    Text Solution

    |

  11. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

    Text Solution

    |

  12. Solve the following system of homogeneous linear equations by matri...

    Text Solution

    |

  13. Solve following system of homogeneous linear equations: x+y-2z=0,\ ...

    Text Solution

    |

  14. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

    Text Solution

    |

  15. A school wants to award its students for the value of honesty, regular...

    Text Solution

    |

  16. Two schools A and B want to awad their selected students on the values...

    Text Solution

    |

  17. Two schools P and Q want to award their selected students on the value...

    Text Solution

    |

  18. The sum of three numbers is 6. If we multiply third number by 3 and...

    Text Solution

    |

  19. The sum of three numbers is 6. Twice the third number when added to th...

    Text Solution

    |

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

    Text Solution

    |