Home
Class 12
MATHS
If A = [(1,-2,3),(1,2,1),(-1,2,-3)] show...

If A = `[(1,-2,3),(1,2,1),(-1,2,-3)]` show by elementary colomn operations that the matrix A does not possess an inverse.

Promotional Banner

Topper's Solved these Questions

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTION|9 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|35 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|9 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

Similar Questions

Explore conceptually related problems

If B = [(-2,2,1),(0,4,5),(-2,6,6)] , show by elementary row operations that B^(-1) does not exist.

Find the invervse of the matrix A = [(1,5,0),(0,2,-1),(1,0,3)] using elementary (i) row transformations (ii) elementary column transformations.

If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

If A = [(2,5,3),(3,1,2),(1,2,-1)] be a square matrix, find Adj.A and A^(-1)

If A=(1)/(3){:[(-1,2,-2),(-2,1,2),(2,2,1)] show that "AA"^(T)=I .

By using elementary operations, find the inverse of the matrix A=[(1,2),(2,-1)] .

Show that , A^(-1) = (1)/(3) [(-1,2,-2),(-2,1,-2),(2,2,1)] is a proper orthogonal matrix.

Show that the matrix A=[(1, -1, 5),(-1,2,1),(5,1,3)] is a symmetric matrix.

Using elementary row operations, find the inverse of the matrix (""_(1)^(2)" "_(3)^(5)) .

If A=[(0,1,2),(1,2,3),(3,1,1)] and its inverse B=[b_(ij)] , then the element b_(23) of matrix B is -

CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-VERY SHORT ANSWER TYPE QUESTIONS
  1. Find the inverse of matrices using elementary column transformations: ...

    Text Solution

    |

  2. Find the inverse of matrices using elementary column transformations: ...

    Text Solution

    |

  3. Find the inverse of matrices using elementary column transformations: ...

    Text Solution

    |

  4. If A =[(5,-8),(-5,8)], show by elementary row transformations that A^...

    Text Solution

    |

  5. If B = [(-2,2,1),(0,4,5),(-2,6,6)], show by elementary row operations ...

    Text Solution

    |

  6. If A = [(1,-2,3),(1,2,1),(-1,2,-3)] show by elementary colomn operatio...

    Text Solution

    |

  7. If A =[(2,2),(4,3)] show that, AA^(-1) =I(2) wher I(2) is the unit mat...

    Text Solution

    |

  8. Find the matrix A when A^(-1) = (1)/(11)[(1,4),(-2,3)]

    Text Solution

    |

  9. Find the matrix A when A^(-1) = [(cos theta,sin theta),(-sin theta,...

    Text Solution

    |

  10. If A =((3,1),(0,2)) show that (A^(T))^(-1) = (A^(-1))^(T) where A^(T) ...

    Text Solution

    |

  11. If A =[(2,5),(1,3)] and AB = [(-13,8),(-8,5)], find B.

    Text Solution

    |

  12. If A = ((4,5),(2,1)) show that, 6A^(-1) + 5I = A.

    Text Solution

    |

  13. If A = [(cosalpha, sinalpha),(-sinalpha,cosalpha)] prove that, AA^(') ...

    Text Solution

    |

  14. If A =[(1,-tan""(theta)/(2)),(tan""(theta)/(2), 1)] and B = [(1,tan""(...

    Text Solution

    |

  15. If A = [(-3,-4),(4,5)] and B = [(2,-3),(5,-8)], verify that (AB)^(-1) ...

    Text Solution

    |

  16. If A = [(2,1),(3,4)] and B = [(1,-2),(-1,1)], find the value of (AB)^(...

    Text Solution

    |

  17. If A = ((3,1),(-1,2)), I = ((1,0),(0,1)) and O = ((0,0),(0,0)) show th...

    Text Solution

    |

  18. If A = [(4,5),(5,6)] show that, A^(2) = 10A + I where I is the unit ma...

    Text Solution

    |

  19. Show that the matrix A= [(2,-3),(3,4)] satisfies the equation x^(2) - ...

    Text Solution

    |

  20. Show that, the matrix A = [(1,2,2),(2,1,2),(2,2,1)] satisfies the equa...

    Text Solution

    |