Home
Class 12
MATHS
Let A = [[3,7],[2,5]] and B = [[6,8],[7,...

Let `A = [[3,7],[2,5]] and B = [[6,8],[7,9]]` Verify that `(AB)^-1 = B^-1A^-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=[(3,7),(2,5)] , B=[(6,8),(7,9)] then verify (AB)^-1=B^-1A^-1 .

If A = [[1],[5],[6]], B = [[2,1,-5]] , verify that (AB)' = B'A' .

If A = [[7],[9],[-8]], B = [(2,0,-2)] , verify that (AB)' = B'A' .

If A = {:[(3),(-1),(5)], B = [-6,7,10] , verify that : (AB)' = B'A'.

If A = [(2),(-3),(5)] , B = [(2,-4,7)] , verify that (AB)' = B'A'

If A= [[-2],[4],[5]] , B=[1 3 -6] , verify that (AB)'=B'A'.

If A = [[-2],[4],[5]], B = [(1),(3),(-6)] , verify that (AB)' = B'A' .

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the inverse of the matrix (if it exists): [[1,-1,2],[0,2,-3],[3,-...

    Text Solution

    |

  2. Find the inverse of the matrix (if it exists): [[1,0,0],[0,cosalpha,si...

    Text Solution

    |

  3. Let A = [[3,7],[2,5]] and B = [[6,8],[7,9]] Verify that (AB)^-1 = B^-1...

    Text Solution

    |

  4. If Matrix A= [[3,1],[-1,2]], then show that A^2-5A+7I=0 and hence find...

    Text Solution

    |

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

    Text Solution

    |

  6. For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] Show that A^3-6A^2+5A+1...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

    Text Solution

    |

  9. Select the Correct Option If A is an invertible matrix of order 2, the...

    Text Solution

    |

  10. Classify the following systems of equations as consistent or inconsist...

    Text Solution

    |

  11. Solve by matrix method 2x +y +z=1 x-2y-z =3//2 3y-5z =9

    Text Solution

    |

  12. Classify the following systems of equations as consistent or inconsist...

    Text Solution

    |

  13. Classify the following systems of equations as consistent or inconsist...

    Text Solution

    |

  14. Classify the following system of equations as consistent or inconsiste...

    Text Solution

    |

  15. Classify the following system of equations as consistent or inconsiste...

    Text Solution

    |

  16. Classify the following system of equations as consistent or inconsiste...

    Text Solution

    |

  17. Use matrix methocd to solve the following system of equations: {:(x-y ...

    Text Solution

    |

  18. Solve by matrix method 2x + 3y +3z = 5 x -2y + z = -4 3x - y -...

    Text Solution

    |

  19. Solve the following system of linear equations by matrix method : x - ...

    Text Solution

    |

  20. Solve system of linear equations, using matrix method: 5x+2y=4, 7x+3y=...

    Text Solution

    |