Home
Class 12
MATHS
If A = [(11,-20,17),(6,-40,2),(7,-20,-11...

If `A = [(11,-20,17),(6,-40,2),(7,-20,-11)] and B = [(6,-7,8),(1,-3,1),(2,1,-4)]`, compute AB and hence find `A^-1`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

If A = [(6,-7, 8),(1,-3,1),(2,1,-4)] , compute det (adj A).

If A = [(1,1),(1,1)] , compute A^3

If A= {:[(3,-3,4),(2,-3,4),(0,-1,1)] , show that A^4=I , Hence find A^-1

If A = {:[(1,1,-2),(2,1,-3),(4,5,6)] , find |A|.

If A - B = [(1,1,1),(1,1,0),(1,0,0)] and A + B = [(3,5,7),(-1,1,4),(11,8,0)] , find A and B.

If A = [(3,8,0),(1,6,7),(0,2,-5)] and B = [(-1, 6 ,9),(3,0,4),(2,3,11)] , find 2 A - 3 B.

If A = {:[(4,2,7),(2,1,7)] and B = [(2,1,5),(3,4,6)] find 2A-B.

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the inverse of each of the folowing matrices: [(cos theta, sin ...

    Text Solution

    |

  2. Find the inverse of A = [(1,3,3),(1,4,3),(1,3,4)] and verify that A^-1...

    Text Solution

    |

  3. If A = [(11,-20,17),(6,-40,2),(7,-20,-11)] and B = [(6,-7,8),(1,-3,1),...

    Text Solution

    |

  4. If A = 1/9 [(-8,1,4),(4,4,7),(1,-8,4)], show that A^-1 = A'

    Text Solution

    |

  5. If A = [(-1,2,0),(-1,1,1),(0,1,0)], show that A^2 = A^-1

    Text Solution

    |

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

    Text Solution

    |

  7. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

    Text Solution

    |

  8. Show that [(1, - tantheta/2),(tantheta/2, 1)][(1, tantheta/2),(-tanthe...

    Text Solution

    |

  9. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

    Text Solution

    |

  10. For the matrix A=[{:(3,2),(1,1):}], find the numbers a and b such that...

    Text Solution

    |

  11. If A=[(2,-3),(-4,7)] compute A^(-1) and show that 2A^(-1) + A-9I =0

    Text Solution

    |

  12. Find A^(-1) if A=[(0,1,1),(1,0,1),(1,1,0)] and show that A^(-1)=(A^2-3...

    Text Solution

    |

  13. Show that A = [(-8,5),(2,4)] satsfies the equation x^2 + 4x - 42= 0. H...

    Text Solution

    |

  14. If A = [(2,3,3),(3,2,3),(3,3,2)], then show that A^2 - 7A - 8I = O

    Text Solution

    |

  15. Find the matrix X satisfying X [(5,3),(-1,-2)]=[(14,7),(7,7)]

    Text Solution

    |

  16. Find the matrix X satisfying. [(3,2),(7,5)] X [(-1,1),(-2,1)] = [(2,...

    Text Solution

    |

  17. Find the matrix X satisfying. [(2,1),(5,3)] X [(5,3),(3,2)] = [(1,0)...

    Text Solution

    |

  18. Find the matrix X satisfying. [(2,1),(3,2) X [(-3,2),(5,-3)] = [(1,0...

    Text Solution

    |

  19. If A = [(6,-7, 8),(1,-3,1),(2,1,-4)], compute det (adj A).

    Text Solution

    |

  20. If A = [(3,2,2),(2,3,2),(2,2,3)], find adj (Adj A)

    Text Solution

    |