Home
Class 12
MATHS
Verify (AB)^-1 = B^(-1)A^(-1) for the ma...

Verify `(AB)^-1 = B^(-1)A^(-1)` for the matrices A and B. Where :
`A = {:[(3,7),(2,5)] and B = [(6,8),(7,9)]`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • EXCLUSIVELY FOR JEE(ADVANCED)

    MODERN PUBLICATION|Exercise EXERCISE|38 Videos

Similar Questions

Explore conceptually related problems

Verify (AB)^-1 = B^(-1)A^(-1) for the matrices A and B. Where : A = {:[(4,1),(6,5)] and B = [(2,5),(1,6)]

Verify that (AB)^(-1) = B^(-1)A^(-1) for the matrices A and B where A=[(3,2),(7,5)] andB[(6,7),(8,9)]

Verify that (AB)^(-1) = B^(-1)A^(-1) for the matrices A and B where A=[(2,3),(1,-4)]andB=[(1,-2),(-1,3)]

If A= {:[(6,7),(8,9)] and B = {:[(3,2),(7,5)] , find (AB)^-1

For the matrices A and B, A = [(2,1,3),(4,1,0)], B = [(1,-1),(0,2),(5,0)] , verify that (AB)' = B'A'

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

Show that (AB)' = B'A' A = {:[(-1,3,0),(-7,2,8)], B = [(-5,0),(0,3),(1,-8)]

For the matrices A and B, verify that (AB)' = B'A' , where : A = [[0],[1],[2]], B = [[1,5,7]]

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. If A = [ {:(2,3),(5,-2):} ] , write A^(-1) in terms of A.

    Text Solution

    |

  2. Verify that (AB)^(-1) = B^(-1)A^(-1) for the matrices A and B where ...

    Text Solution

    |

  3. Verify (AB)^-1 = B^(-1)A^(-1) for the matrices A and B. Where : A = ...

    Text Solution

    |

  4. Verify that (AB)^(-1) = B^(-1)A^(-1) for the matrices A and B where ...

    Text Solution

    |

  5. Verify (AB)^-1 = B^(-1)A^(-1) for the matrices A and B. Where : A = ...

    Text Solution

    |

  6. Show that the matrix A = [[2,3],[1,2]satisfies the equation A^2-4A+I =...

    Text Solution

    |

  7. If A = [[3,1],[-1,2]], show thatA^2-5A +7I = O

    Text Solution

    |

  8. For the matrix A = [[3,2],[1,1]], find the numbers a and b such that A...

    Text Solution

    |

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

    Text Solution

    |

  10. If A= {:[(6,7),(8,9)] and B = {:[(3,2),(7,5)], find (AB)^-1

    Text Solution

    |

  11. Find the inverse of each of the following: {:[(1,-1,2),(0,2,-3),(3,-...

    Text Solution

    |

  12. Find the inverse of each of the following: {:[(1,2,3),(0,2,4),(0,0,5...

    Text Solution

    |

  13. Find the inverse of each of the following: {:[(2,1,3),(4,-1,0),(-7,2...

    Text Solution

    |

  14. Find the inverse of each of the following: {:[(1,0,0),(3,3,0),(5,2,-...

    Text Solution

    |

  15. If P = {:[(1,2,-2),(-1,3,0),(0,-2,1)], find P^-1. Verify that PP^-1= I...

    Text Solution

    |

  16. Compute (AB)^(-1) , where A=[(5,0,4),(2,3,2),(1,2,1)],B^(-1)=[(1,2,3),...

    Text Solution

    |

  17. If A={:[(1,2,2),(2,1,2),(2,2,1)], prove thst A^2-4A-5I = O and hence,...

    Text Solution

    |

  18. If A = [[2,-1,1],[-1,2,-1],[1,-1,2]], Verify that A^3-6A^2+9A-4I=O and...

    Text Solution

    |

  19. If A^-1 = [[3,-1,1],[-15,6,-5],[5,-2,2]] and B = [[1,2,-2],[-1,3,0],[0...

    Text Solution

    |

  20. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1...

    Text Solution

    |