Home
Class 12
MATHS
If {:[( 2,-3,5),( 3,2,-4),( 1,1,-2) ]:}...

If ` {:[( 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`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise EXERCISE -1.8|25 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

Similar Questions

Explore conceptually related problems

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

Examine the consistency of the system of equations 3x-y -2z =2 2y - z =-1 3x- 5y =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=({:(2,3,10),(4,-6,5),(6,9,-20):}) find A^(-1) . Using A^(-1) solve the system of equations. (2)/(x)+(3)/(y)+(10)/(z)=2,(4)/(x)-(6)/(y)+(5)/(z)=5,(6)/(x)+(9)/(y)+(20)/(z)=-4

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

Solve system of linear equations , using matrix method 2x+ 3y + 3z=5 x-2y +z=-4 3x-y-2z=3

Examine the consistency of the system of equations x+ y +z=1 2x+ 3y +2z =2 ax+ay +2az =4

The number of solutions of the system of equations 2x+y-z=7,x-3y+2z=1, x+3y-3z=5 is

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

FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
  1. Using matrix method, solve the following system of equations: x+2y+z...

    Text Solution

    |

  2. Using matrix matrices, solve the following system of linear equations:...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. An amount of Rs 7000 is invested in three types of investments x,y and...

    Text Solution

    |

  7. If A=({:(2,3,10),(4,-6,5),(6,9,-20):}) find A^(-1). Using A^(-1) solve...

    Text Solution

    |

  8. Solve the following non-homogeneous system of linear equations by dete...

    Text Solution

    |

  9. Solve the following non-homogeneous system of linear equations by dete...

    Text Solution

    |

  10. Solve : (1)/(x)+(2)/(y)-(1)/(z)=1 (2)/(x)+(4)/(y)+(1)/(z)=5 ...

    Text Solution

    |

  11. Solve the following system of linear equaltions, by Gaussian eliminati...

    Text Solution

    |

  12. Verify whether the given system is consistent. If it is consistent, s...

    Text Solution

    |

  13. Examine the consistency of the equations. 2x-3y+7z=5,3x+y-3z=13,2x+1...

    Text Solution

    |

  14. Show that the equations: x+y+z=6,x+2y+3z=14,x+4y+7z=30 are consistent ...

    Text Solution

    |

  15. Discuss the solutions of the system of equations for all values of lam...

    Text Solution

    |

  16. For what values of k, the system of equations kx+y+z=1,x+ky+z=1,x+y+kz...

    Text Solution

    |

  17. Solve the following homogeneous linear equations. x+2y-5z=0,3x+4y+6z...

    Text Solution

    |

  18. For what value of mu the equations. x+y+3z=0,4x+3y+muz=0,2x+y+2z=0 h...

    Text Solution

    |

  19. A=[a(ij)](mxxn) is a square matrix if …………

    Text Solution

    |

  20. Matrices A and B will be inverse of each only if ……………

    Text Solution

    |