Home
Class 12
MATHS
If A^-1 = [[3,-1,1],[-15,6,-5],[5,-2,2]]...

If `A^-1 = [[3,-1,1],[-15,6,-5],[5,-2,2]] and B = [[1,2,-2],[-1,3,0],[0,-2,1]]` find `(AB)^-1` ।

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

Given A= [[5,0,4],[2,3,2],[1,2,1]] , B^-1 = [[1,3,3],[1,4,3],[1,3,4]] ,find (AB)^-1 .

If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]] , then compute (A+B) and (B-C) . Also, verify that A + (B-C) = (A + B) - C .

Given A = [[sqrt3,1,-1],[2,3,0]] and B = [[2,sqrt5,1],[-2,3,1/2]] find A + B

If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

If A = [[1,2,3],[2,3,1]] and B = [[3,-1,3],[-1,0,2]] , then find 2A – B.

If A= [[2,0,1],[2,1,3],[1,-1,0]] , find A^2-5A+6I=O

If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I .

If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[5//2,-3//2,1//2]] then

If A = [[1,-2,3],[-4,2,5]] and B = [[2,3],[4,5],[2,1]] , then find AB, BA. Show that AB ne BA

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.

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find |A|: A = {:[(1,-2,2),(2,3,5),(-2,0,1)]

    Text Solution

    |

  7. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

    Text Solution

    |

  8. Find |A|: A = {:[(2,1,5),(3,-2,-4),(-3,1,-2)]

    Text Solution

    |

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

    Text Solution

    |

  10. Find the determinant of the matrix : A = {:[(a,b),(c,bc)]

    Text Solution

    |

  11. Find the determinant of the matrix : A = {:[(a,b),(c,(1+bc)/a)]

    Text Solution

    |

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

    Text Solution

    |

  13. Find the inverse of the matrix : A = [(costheta,sintheta),(-sintheta,c...

    Text Solution

    |

  14. Find the transpose of the matrix : A = {:[(a,b),(c,(1+bc)/a)]

    Text Solution

    |

  15. Find the inverse of the matrix : {:[(2//13,-5//3),(3//13,-1//13)]

    Text Solution

    |

  16. Find the inverse of the matrix : {:[(3/14,1/7),(-2/7,1/7)]

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |