Home
Class 12
MATHS
Find the inverse of the matrix A = {:[(a...

Find the inverse of the matrix `A = {:[(a,b),(c,(1+bc)/a)]` and show that : `aA^-1 = (a^2+bc+1)I-aA`

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

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

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

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : 1/7{:[(2,-1),(1,3)]

Find the inverse of the matrix : {:[(1,-2),(-1,3)]

Find the inverse of the matrix A = [[a,b],[c, frac{1+bc}{a}]] and show that: aA^-1 = (a^2 + bc + 1) I - aA.

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

Find the inverse of the matrix : {:[(1,-1),(0,1//2)]

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : {:[(1/3,-2/3),(-2/3,1)]

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : {:[(-5//2,3//2),(2,-1)]

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If A = [(1,0,2),(0,2,1),(2,0,3)], find A (adj A)

    Text Solution

    |

  16. Prove that |(bc-a^2, ca-b^2, ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2,...

    Text Solution

    |

  17. Using matrix method solve the following systems of equations: (3x + ...

    Text Solution

    |

  18. Using matrix method solve the following systems of equations: {:(3x ...

    Text Solution

    |

  19. Using matrix method solve the following systems of equations: {:(2x ...

    Text Solution

    |

  20. Using Cramers, rule solve the following system of equations: {:(5x +...

    Text Solution

    |